Dissertations / Theses on the topic 'Lie'
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Eddy, Scott M. "Lie Groups and Lie Algebras." Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.
Full textAhluwalia, Kanwardeep Singh. "Lie bialgebras and Poisson lie groups." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.388758.
Full textYang, Qunfeng. "Some graded Lie algebra structures associated with Lie algebras and Lie algebroids." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0007/NQ41350.pdf.
Full textPalmieri, Riccardo. "Real forms of Lie algebras and Lie superalgebras." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9448/.
Full textBurroughs, Nigel John. "The quantisation of Lie groups and Lie algebras." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358486.
Full textKrook, Jonathan. "Overview of Lie Groups and Their Lie Algebras." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-275722.
Full textLiegrupper kan ses som grupper som även är glatta. Målet med den här rapporten är att definiera Liegrupper som glatta mångfalder, och att undersöka några av liegruppernas egenskaper. Till varje Liegrupp kan man relatera ett vektorrum, som kallas Liegruppens Liealgebra. Vi kommer undersöka vilka egenskaper hos en Liegrupp som kan härledas från dess Liealgebra. Som tillämpning kommer vi karaktärisera alla unitära irreducibla ändligtdimensionella representationer av Liegruppen SO(3).
Aminou, Adérodjou A. Rachidi. "Groupes de Lie-Poisson et bigèbres de Lie." Lille 1, 1988. http://www.theses.fr/1988LIL10139.
Full textAminou, Adérodjou A. Rachidi. "Groupes de Lie-Poisson et bigèbres de Lie." Grenoble 2 : ANRT, 1988. http://catalogue.bnf.fr/ark:/12148/cb37611312n.
Full textHöglund, Joel. "Lie-algebror." Thesis, Uppsala universitet, Algebra och geometri, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-202056.
Full textMihaylishin, P. A. "Lie detector." Thesis, Сумський державний університет, 2012. http://essuir.sumdu.edu.ua/handle/123456789/28533.
Full textAndroulidakis, Iakovos E. "Extensions, cohomology and classification for Lie algebroids and Lie groupoids." Thesis, University of Sheffield, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.369963.
Full textTraustason, Gunnar. "Engel Lie algebras." Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.334292.
Full textTullini, Yvonne. "Corrispondenza fra i Gruppi di Lie e le Algebre di Lie." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16414/.
Full textDuong, Minh-Thanh. "A new invariant of quadratic lie algebras and quadratic lie superalgebras." Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00673991.
Full textSantacruz, Camilo Andres Angulo. "A cohomology theory for Lie 2-algebras and Lie 2-groups." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-15022019-084657/.
Full textNesta tese, nós introduzimos uma nova teoria de cohomologia associada às 2-álgebras de Lie e uma nova teoria de cohomologia associada aos 2-grupos de Lie. Prova-se que estas teorias de cohomologia estendem as teorias de cohomologia clássicas de álgebras de Lie e grupos de Lie em que os seus segundos grupos classificam extensões. Finalmente, usaremos estos fatos junto com um morfismo de van Est adaptado para encontrar uma nova prova da integrabilidade das 2-álgebras de Lie.
Remm, Elisabeth. "Structures affines sur les algébres de Lie et opérades Lie admissibles." Mulhouse, 2001. http://www.theses.fr/2001MULH0670.
Full textDuong, Minh thanh. "A new invariant of quadratic lie algebras and quadratic lie superalgebras." Thesis, Dijon, 2011. http://www.theses.fr/2011DIJOS021/document.
Full textIn this thesis, we defind a new invariant of quadratic Lie algebras and quadratic Lie superalgebras and give a complete study and classification of singular quadratic Lie algebras and singular quadratic Lie superalgebras, i.e. those for which the invariant does not vanish. The classification is related to adjoint orbits of Lie algebras o(m) and sp(2n). Also, we give an isomorphic characterization of 2-step nilpotent quadratic Lie algebras and quasi-singular quadratic Lie superalgebras for the purpose of completeness. We study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra and 2-step nilpotent pseudo-Euclidean Jordan algebras, in the same manner as it was done for singular quadratic Lie algebras and 2-step nilpotent quadratic Lie algebras. Finally, we focus on the case of a symmetric Novikov algebra and study it up to dimension 7
Ben, Abdeljelil Amine. "Generalized Derivations of Ternary Lie Algebras and n-BiHom-Lie Algebras." Scholar Commons, 2019. https://scholarcommons.usf.edu/etd/7743.
Full textWickramasekara, Sujeewa, and sujeewa@physics utexas edu. "On the Representations of Lie Groups and Lie Algebras in Rigged Hilbert." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi994.ps.
Full textAmmar, Gregory, Christian Mehl, and Volker Mehrmann. "Schur-Like Forms for Matrix Lie Groups, Lie Algebras and Jordan Algebras." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501032.
Full textBagnoli, Lucia. "Z-graded Lie superalgebras." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/14118/.
Full textWilliams, Michael Peretzian. "Nilpotent N-Lie Algebras." NCSU, 2004. http://www.lib.ncsu.edu/theses/available/etd-02162004-083708/.
Full textLevene, Rupert Howard. "Lie semigroup operator algebras." Thesis, Lancaster University, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.421841.
Full textStreet, C. N. H. "Lie detection : cognitive processes." Thesis, University College London (University of London), 2013. http://discovery.ucl.ac.uk/1414942/.
Full textLacerda, Conrado Damato de 1986. "Grupos de Lie compactos." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305808.
Full textDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Neste trabalho apresentamos os principais resultados da teoria dos grupos de Lie compactos e provamos o Teorema de Weyl sobre os seus grupos fundamentais
Abstract: In this work we present the main results about compact Lie groups and prove Weyl's Theorem on their fundamental groups
Mestrado
Teoria de Lie
Mestre em Matemática
Almeida, Luis Roberto Lucinger de 1983. "Simetrias de Lie estocásticas." [s.n.], 2012. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306332.
Full textTese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica
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Resumo: Nesta tese, estudamos equações diferenciais estocásticas, sob o ponto de vista da teoria das simetrias de Lie. Introduzimos o conceito de simetria de Lie estocástica, que consiste em uma ação que mantém invariante as soluções de uma equação diferencial, onde tal ação é estocástica, isto é, dada por um fluxo estocástico. Nosso principal resultado consiste nas equações de Lie para as simetrias estocásticas, permitindo detectar quando um fluxo estocástico é uma simetria estocástica. Além disso, apresentamos uma possível definição de coordenada canônica para as simetrias estocásticas e obtemos condições, assim como no caso clássico, para encontrá-la. Por fim, mostramos como obter, sistematicamente, transformações entre equações estocásticas
Abstract: In this thesis, we study stochastic differential equations, under the point of view of Lie point symmetries. We introduce the concept of stochastic Lie point symmetry, which consists of an action that keeps invariant the solutions of a differential equation, where such action is stochastic, i.e., given by a stochastic flow. Our main result is the Lie's equations for stochastic symmetries, which allows one to detect when a stochastic flow is a stochastic symmetry. Furthermore, we present a possible definition of canonical coordinates for the stochastic symmetries and we obtain conditions, like in the standard case, to find them. At last, we show how to obtain, systematically, transformations between stochastic differential equations
Doutorado
Matematica
Doutor em Matemática
Chloup-Arnould, Véronique. "Groupes de Lie-Poisson." Metz, 1996. http://docnum.univ-lorraine.fr/public/UPV-M/Theses/1996/Chloup_Arnould.Veronique.SMZ9619.pdf.
Full textÖhrnell, Carl. "Lie Groups and PDE." Thesis, Uppsala universitet, Analys och sannolikhetsteori, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-420706.
Full textCHLOUP-ARNOULD, VERONIQUE GUTT S. "GROUPES DE LIE-POISSON /." [S.l.] : [s.n.], 1996. ftp://ftp.scd.univ-metz.fr/pub/Theses/1996/Chloup_Arnould.Veronique.SMZ9619.pdf.
Full textBenayadi, Saïd. "Etude d'une famille d'algèbres de Lie généralisant les algèbres de Lie semi-simples." Dijon, 1993. http://www.theses.fr/1993DIJOS001.
Full textMeyer, Philippe. "Représentations associées à des graduations d'algèbres de Lie et d'algèbres de Lie colorées." Thesis, Strasbourg, 2019. http://www.theses.fr/2019STRAD001/document.
Full textLet k be a field of characteristic not 2 or 3. Colour Lie algebras generalise both Lie algebras and Lie superalgebras. In this thesis we study representations V of colour Lie algebras g arising from colour Lie algebras structures on the vector space g⨁V. Firstly, we study the general structure of simple three-dimensional Lie algebras over k. Then, we classify up to isomorphism finite-dimensional Lie superalgebras whose even part is a simple three-dimensional Lie algebra. Next, to an abelian group ᴦ and a commutation factor ɛ of ᴦ, we develop the multilinear algebra associated to ᴦ-graded vector spaces. In this context, colour Lie algebras play the rôle of Lie algebras. This language allows us to state and prove a theorem reconstructing an ɛ-quadratic colour Lie algebra g⨁V from an ɛ-orthogonal representation V of an ɛ-quadratic colour Lie algebra g. This theorem involves an invariant taking its values in the ɛ-exterior algebra of V and generalises results of Kostant and Chen-Kang. We then introduce the notion of a special ɛ-orthogonal representation V of an ɛ-quadratic colour Lie algebra g and show that it allows us to define an ɛ-quadratic colour Lie algebra structure on the vector space g⨁sl(2,k)⨁V⨂k². Finally we give examples of special ɛ-orthogonal representations and in particular examples of special orthogonal representations of Lie algebras amongst which are: a one-parameter family of representations of sl(2,k)xsl(2,k) ; the 7-dimensional fundamental representation of a Lie algebra of type G₂ ; the 8-dimensional spinor representation of a Lie algebra of type so(7)
Monaro, Merylin. "Lie detection in the future: the online lie detection via human-computer interaction." Doctoral thesis, Università degli studi di Padova, 2018. http://hdl.handle.net/11577/3427259.
Full textMetà delle persone sul nostro Pianeta navigano nel web, utilizzano servizi online e interagiscono attraverso i social network. Tuttavia, la diffusione di Internet sta andando di pari passo l’uso malevole di esso. La creazione di profili suoi social network, la diffusione di notizie false, il post di recensioni false, le frodi finanziarie online, sono solo alcuni esempi. Per far fronte a queste problematiche, le più grandi compagnie, come Google e Facebook, stanno avviando la ricerca nell’ambito della rilevazione della menzogna online. Il presente lavoro è un contributo alla rilevazione della menzogna online attraverso lo studio dell'interazione tra computer e utente. Dopo una breve rassegna degli attuali metodi di rilevamento della menzogna, concentrandosi sui loro vantaggi e svantaggi per l'applicazione online, vengono riportati una serie di esperimenti. Gli esperimenti sono stati condotti misurando gli indici derivanti da tre diversi strumenti di interazione uomo-macchina: I tempi di reazione su tastiera, la dinamica di battitura su tastiera e la dinamica di movimento del mouse. Sono state utilizzate due strategie per aumentare il carico cognitivo dei soggetti mentitori e facilitare l'osservazione delle caratteristiche peculiari dell'inganno: la tecnica delle domande inaspettate e la tecnica delle domande complesse. Gli esperimenti si sono concentrati sullo studio della menzogna relativa all'identità, dato che si tratta di un tema molto attuale e rappresenta una sfida per le aziende che forniscono servizi online. Ai partecipanti è stato chiesto di rispondere mentendo o dicendo verità alle domande che apparivano sullo schermo del computer, digitando la risposta sulla tastiera, facendo click su di essa con il mouse o premendo uno tra due tasti alternativi di risposta. I dati raccolti dai mentitori e le risposte dei soggetti sinceri sono stati analizzati e utilizzati per costruire modelli di classificazione tramite l’uso di tecniche di apprendimento automatico. L'accuratezza della classificazione nel distinguere i soggetti mentitori dai sinceri varia dall' 80% al 95%, a seconda del paradigma sperimentale utilizzato. I risultati hanno dimostrato che è possibile individuare I soggetti che mentono analizzando la loro interazione con il computer durante l'atto di mentire. In particolare, abbiamo dimostrato che la dinamica di battitura su tastiera rappresenta uno strumento molto promettente per il rilevamento della menzogna, ed è facilmente integrabile con le applicazioni online già esistenti. Inoltre, abbiamo confermato che la complessità cognitiva del compito aumenta la possibilità di individuare la menzogna.
Jimenez, William. "Riemannian submersions and Lie groups." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/2648.
Full textThesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
Alekseevsky, Dmitri, Peter W. Michor, Wolfgang Ruppert, and Peter Michor@esi ac at. "Extensions of Super Lie Algebras." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi980.ps.
Full textFurutsu, Hirotoshi. "Representations of Lie Superalgebras, II." 京都大学 (Kyoto University), 1991. http://hdl.handle.net/2433/168802.
Full textKyoto University (京都大学)
0048
新制・課程博士
理学博士
甲第4695号
理博第1293号
新制||理||720(附属図書館)
UT51-91-E66
京都大学大学院理学研究科数学専攻
(主査)教授 平井 武, 教授 池部 晃生, 教授 岩崎 敷久
学位規則第5条第1項該当
Milson, Robert. "Multi-dimensional Lie-algebraic operators." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=40197.
Full textThe study of multi-dimensional Lie-algebraic operators benefits from an intrinsic, geometrically based approach. We do this by taking as our setting the fibre bundle $ pi$: G $ to$ M, where G is a Lie group, and the base is a homogeneous space. The symbol of a second-order Lie-algebraic operator induces a pseudo-Riemannian metric tensor, g, on the base; the symbol also induces a horizontal-vertical decomposition of the above bundle. Not surprisingly, the geometry of g is determined by this decomposition, and thus allows us to investigate g in terms of the horizontal and vertical vector fields associated to the decomposition.
Of particular interest is the class of flat geometries induced by Lie algebraic operators. One motivation for considering this class is furnished by Turbiner's Conjecture, which states that a Lie algebraic operator admits separation of variables if its symbol induces a flat metric. In the planar case we prove a global result to the effect that a flat, Riemannian manifold of the type described above, is isometric to the quotient of the Euclidean plane by reflections. We then use this result to give a proof of a limited form of Turbiner's conjecture.
Alajaji, Sami E. (Sami Emmanuel). "Central filtrations of Lie algebras." Thesis, McGill University, 1995. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=22714.
Full textBrodzki, Jacek. "Cyclic cohomology and Lie cochains." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.257657.
Full textShrader, Kyle. "Jack Kerouac Does Not Lie." Master's thesis, University of Central Florida, 2006. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/6224.
Full textM.F.A.
Masters
English
Arts and Sciences
Yaseen, Hogar M. "Generalized root graded Lie algebras." Thesis, University of Leicester, 2018. http://hdl.handle.net/2381/42765.
Full textRoberts, Kieran. "Lie algebras and incidence geometry." Thesis, University of Birmingham, 2012. http://etheses.bham.ac.uk//id/eprint/3483/.
Full textCaradot, Antoine. "Singularité et théorie de Lie." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1086/document.
Full textLet Γ be a finite subgroup of SU2(ℂ). Then the quotient ℂ2/Γ can be embedded in ℂ3 as a surface with an isolated singularity. The quotient ℂ2/Γ is called a Kleinian singularity, after F. Klein who studied them first in 1884. Through their minimal resolutions, these singularities have a deep connection with simply-laced Dynkin diagrams of types Ar, Dr and Er. In the 1970's E. Brieskorn and P. Slodowy took advantage of this connection to describe the resolutions and deformations of these singularities in terms of Lie theory. In 1998 P. Slodowy and H. Cassens constructed the semiuniversal deformations of the Kleinian singularities using quiver theory and work from 1989 by P.B. Kronheimer on symplectic geometry. In Lie theory, the classification of simple Lie algebras allows for a separation in two classes: those simply-laced of types Ar, Dr and Er, and those of types Br, Cr, F4 and G2 called inhomogeneous. With the use of a second finite subgroup Γ’ of SU2(ℂ) such that Γ ⊲ Γ’, P. Slodowy extended in 1978 the definition of a Kleinian singularity to the inhomogeneous types by adding to ℂ2/Γ the group of automorphisms Ω= Γ’/Γ of the Dynkin diagram associated to the singularity. The purpose of this thesis is to generalize H. Cassens' and P. Slodowy's construction to the singularities of types Br, Cr, F4 and G2. It will lead to explicit semiuniversal deformations of inhomogeneous types on the fibers of which the group Ω acts. By quotienting such a map we obtain a deformation of a singularity ℂ2/Γ’
Nilsson, Jonathan. "Simple Modules over Lie Algebras." Doctoral thesis, Uppsala universitet, Algebra och geometri, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-283061.
Full textBarton, Christine H. "Magic squares of Lie algebras." Thesis, University of York, 2000. http://etheses.whiterose.ac.uk/10884/.
Full textSilva, Viviane Moretto da. "Algebras de Lie finitamente apresentaveis." [s.n.], 2005. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306934.
Full textDissertação (mestrado) - Universidade Estadual de Campinas. Instituto de Matematica, Estatistica e Computação Científica
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Resumo: Nesta dissertação de mestrado, estudamos propriedades de álgebras de Lie. As Álgebras de Lie têm grande importância nao somente na teoria de álgebras não associativas, elas surgem também em geometria, topologia e no estudo da teoria de grupos por exemplo. As definições e resultados básicos sobre álgebras de Lie estão inclusos no Capítulo 2. Para esta parte do trabalho, utilizamos os livros [1] e [2]. O nosso enfoque foi sobre álgebras universais envelopantes, mergulhando assim a álgebra de Lie em álgebras associativas (Seções 2.4, 2.5 e 2.6). O objetivo principal da dissertação foi estudar o artigo [4], ¿Finite presentation of abelian-by-finite dimensional Lie algebras¿, que classifica álgebras de Lie finitamente apresentáveis (no sentido de serem definidas por número finito de geradores e relações) que são extensões de ideal abeliano por álgebra de Lie de dimensão finita. Definimos álgebras de Lie livres na seção 2.7.Tratam-se de objetos na categoria de álgebras de Lie que satisfazem propriedade universal semelhante a definição de grupos livres. A classificação de álgebras de Lie que são extensões de ideal abeliano por álgebra de Lie de dimensão finita usa teoria de módulos Noetherianos. No Capítulo 1 incluímos resultados básicos sobre módulos, em particular estudamos módulos Noetherianos, não necessariamente sobre anéis comutativos (para este estudo utilizamos [9]), embora alguns resultados sejam válidos somente no caso onde o anel básico é comutativo (caso do Teorema da Base de Hilbert 1.31 no Capítulo 1). No final, nos Capítulos 3 e 4, explicamos de maneira bem minuciosa (com mais 6 detalhes que o original) o resultado principal de [4], que 'e apresentado na página 42: Proposicão 3.2: Seja L uma álgebra de Lie finitamente gerada sobre o corpo K. Suponha que L tenha um ideal abeliano A tal que L/A tem dimensão finita como espaço vetorial. Seja R álgebra universal envelopante de L/A. Suponha também que o quadrado tensorial A X A é finitamente gerado como R-módulo sobre a ação diagonal. Então L é finitamente apresentável. Os métodos da demonstração de 3.2 envolvem muitos cálculos com relações em L para mostrar que um conjunto finito E 'e suficiente para gerar todas as relações em L. Embora os cálculos sejam muitos, a técnica principal 'e a indução e a Identidade de Jacobi. A teoria de módulos Noetherianos também foi muito utilizada
Abstract: In this work we study the classification of finitely presented abelian-by-finite dimensional Lie algebras given in [4]. If L is a Lie algebra, an extension of an abelian ideal A by a finite dimensional Lie algebra L/A then L is finitely presented if and only if A X A is finitely generated as U(L/A)-module via the diagonal action, where U(L/A) is the universal enveloping algebra of L/A. We study in detail the result that finite generation of A X A over U(L/A) implies finite presentability of L
Mestrado
Matematica
Mestre em Matemática
Oliveira, Leonardo Gomes. "Álgebras de Lie semi-simples." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-27052009-113224/.
Full textThe dissertation has the theme Lie algebras. Specifically semi-simple Lie algebras and its properties. To find these properties we studied the basic concepts of the theory of Lie algebras and their representations. Then we did the classification by Dynkin diagrams of these algebras and explaining the possible diagrams that are associated with a semi-simple Lie algebra. Finally, we demonstrate several results related to this classification, among these, the main result demonstrated was: the Dynkin diagrams are a complete invariant of semi-simple Lie algebras
Gilg, Marc. "Super-algèbres de Lie nilpotentes." Mulhouse, 2000. http://www.theses.fr/2000MULH0604.
Full textKnibbeler, Vincent. "Invariants of automorphic Lie algebras." Thesis, Northumbria University, 2015. http://nrl.northumbria.ac.uk/23590/.
Full textTopley, Lewis William. "Centralisers in classical Lie algebras." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/centralisers-in-classical-lie-algebras(4138e280-d893-443e-b7f2-c30855dc82ee).html.
Full textCastronuovo, Niccolò. "Gruppi e algebre di Lie." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2011. http://amslaurea.unibo.it/2447/.
Full text