Letteratura scientifica selezionata sul tema "Lie groups and Lie algebras"
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Articoli di riviste sul tema "Lie groups and Lie algebras":
Wüstner, Michael. "Splittable Lie Groups and Lie Algebras". Journal of Algebra 226, n. 1 (aprile 2000): 202–15. http://dx.doi.org/10.1006/jabr.1999.8162.
Lord, Nick, e N. Bourbaki. "Lie Groups and Lie Algebras (Chapters 1-3)". Mathematical Gazette 74, n. 468 (giugno 1990): 199. http://dx.doi.org/10.2307/3619408.
Mikami, Kentaro, e Fumio Narita. "Dual Lie algebras of Heisenberg Poisson Lie groups". Tsukuba Journal of Mathematics 17, n. 2 (dicembre 1993): 429–41. http://dx.doi.org/10.21099/tkbjm/1496162270.
Hilgert, Joachim, e Karl H. Hofmann. "Semigroups in Lie groups, semialgebras in Lie algebras". Transactions of the American Mathematical Society 288, n. 2 (1 febbraio 1985): 481. http://dx.doi.org/10.1090/s0002-9947-1985-0776389-7.
Berenstein, Arkady, e Vladimir Retakh. "Lie algebras and Lie groups over noncommutative rings". Advances in Mathematics 218, n. 6 (agosto 2008): 1723–58. http://dx.doi.org/10.1016/j.aim.2008.03.003.
HOFMANN, K. H., e K. H. NEEB. "Pro-Lie groups which are infinite-dimensional Lie groups". Mathematical Proceedings of the Cambridge Philosophical Society 146, n. 2 (marzo 2009): 351–78. http://dx.doi.org/10.1017/s030500410800128x.
Figueroa-O’Farrill, José. "Lie algebraic Carroll/Galilei duality". Journal of Mathematical Physics 64, n. 1 (1 gennaio 2023): 013503. http://dx.doi.org/10.1063/5.0132661.
Nahlus, Nazih. "Lie Algebras of Pro-Affine Algebraic Groups". Canadian Journal of Mathematics 54, n. 3 (1 giugno 2002): 595–607. http://dx.doi.org/10.4153/cjm-2002-021-9.
Noohi, Behrang. "Integrating morphisms of Lie 2-algebras". Compositio Mathematica 149, n. 2 (febbraio 2013): 264–94. http://dx.doi.org/10.1112/s0010437x1200067x.
Lauret, Jorge. "Degenerations of Lie algebras and geometry of Lie groups". Differential Geometry and its Applications 18, n. 2 (marzo 2003): 177–94. http://dx.doi.org/10.1016/s0926-2245(02)00146-8.
Tesi sul tema "Lie groups and Lie algebras":
Eddy, Scott M. "Lie Groups and Lie Algebras". Youngstown State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1320152161.
Burroughs, 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.
Krook, 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.
Liegrupper 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).
Ammar, Gregory, Christian Mehl e 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.
Santacruz, 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/.
Nesta 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.
Günther, Janne-Kathrin. "The C*-algebras of certain Lie groups". Thesis, Université de Lorraine, 2016. http://www.theses.fr/2016LORR0118/document.
In this doctoral thesis, the C*-algebras of the connected real two-step nilpotent Lie groups and the Lie group SL(2,R) are characterized. Furthermore, as a preparation for an analysis of its C*-algebra, the topology of the spectrum of the semidirect product U(n) x H_n is described, where H_n denotes the Heisenberg Lie group and U(n) the unitary group acting by automorphisms on H_n. For the determination of the group C*-algebras, the operator valued Fourier transform is used in order to map the respective C*-algebra into the algebra of all bounded operator fields over its spectrum. One has to find the conditions that are satisfied by the image of this C*-algebra under the Fourier transform and the aim is to characterize it through these conditions. In the present thesis, it is proved that both the C*-algebras of the connected real two-step nilpotent Lie groups and the C*-algebra of SL(2,R) fulfill the same conditions, namely the “norm controlled dual limit” conditions. Thereby, these C*-algebras are described in this work and the “norm controlled dual limit” conditions are explicitly computed in both cases. The methods used for the two-step nilpotent Lie groups and the group SL(2,R) are completely different from each other. For the two-step nilpotent Lie groups, one regards their coadjoint orbits and uses the Kirillov theory, while for the group SL(2,R) one can accomplish the calculations more directly
Günther, Janne-Kathrin. "The C*-algebras of certain Lie groups". Electronic Thesis or Diss., Université de Lorraine, 2016. http://www.theses.fr/2016LORR0118.
In this doctoral thesis, the C*-algebras of the connected real two-step nilpotent Lie groups and the Lie group SL(2,R) are characterized. Furthermore, as a preparation for an analysis of its C*-algebra, the topology of the spectrum of the semidirect product U(n) x H_n is described, where H_n denotes the Heisenberg Lie group and U(n) the unitary group acting by automorphisms on H_n. For the determination of the group C*-algebras, the operator valued Fourier transform is used in order to map the respective C*-algebra into the algebra of all bounded operator fields over its spectrum. One has to find the conditions that are satisfied by the image of this C*-algebra under the Fourier transform and the aim is to characterize it through these conditions. In the present thesis, it is proved that both the C*-algebras of the connected real two-step nilpotent Lie groups and the C*-algebra of SL(2,R) fulfill the same conditions, namely the “norm controlled dual limit” conditions. Thereby, these C*-algebras are described in this work and the “norm controlled dual limit” conditions are explicitly computed in both cases. The methods used for the two-step nilpotent Lie groups and the group SL(2,R) are completely different from each other. For the two-step nilpotent Lie groups, one regards their coadjoint orbits and uses the Kirillov theory, while for the group SL(2,R) one can accomplish the calculations more directly
Wickramasekara, Sujeewa, e 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.
Jakovljevic, Cvjetan, e University of Lethbridge Faculty of Arts and Science. "Conformal field theory and lie algebras". Thesis, Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 1996, 1996. http://hdl.handle.net/10133/37.
iv, 80 leaves : ill. ; 28 cm.
Ray, Jishnu. "Iwasawa algebras for p-adic Lie groups and Galois groups". Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS189/document.
A key tool in p-adic representation theory is the Iwasawa algebra, originally constructed by Iwasawa in 1960's to study the class groups of number fields. Since then, it appeared in varied settings such as Lazard's work on p-adic Lie groups and Fontaine's work on local Galois representations. For a prime p, the Iwasawa algebra of a p-adic Lie group G, is a non-commutative completed group algebra of G which is also the algebra of p-adic measures on G. It is a general principle that objects coming from semi-simple, simply connected (split) groups have explicit presentations like Serre's presentation of semi-simple algebras and Steinberg's presentation of Chevalley groups as noticed by Clozel. In Part I, we lay the foundation by giving an explicit description of certain Iwasawa algebras. We first find an explicit presentation (by generators and relations) of the Iwasawa algebra for the principal congruence subgroup of any semi-simple, simply connected Chevalley group over Z_p. Furthermore, we extend the method to give a set of generators and relations for the Iwasawa algebra of the pro-p Iwahori subgroup of GL(n,Z_p). The base change map between the Iwasawa algebras over an extension of Q_p motivates us to study the globally analytic p-adic representations following Emerton's work. We also provide results concerning the globally analytic induced principal series representation under the action of the pro-p Iwahori subgroup of GL(n,Z_p) and determine its condition of irreducibility. In Part II, we do numerical experiments using a computer algebra system SAGE which give heuristic support to Greenberg's p-rationality conjecture affirming the existence of "p-rational" number fields with Galois groups (Z/2Z)^t. The p-rational fields are algebraic number fields whose Galois cohomology is particularly simple and they offer ways of constructing Galois representations with big open images. We go beyond Greenberg's work and construct new Galois representations of the absolute Galois group of Q with big open images in reductive groups over Z_p (ex. GL(n, Z_p), SL(n, Z_p), SO(n, Z_p), Sp(2n, Z_p)). We are proving results which show the existence of p-adic Lie extensions of Q where the Galois group corresponds to a certain specific p-adic Lie algebra (ex. sl(n), so(n), sp(2n)). This relates our work with a more general and classical inverse Galois problem for p-adic Lie extensions
Libri sul tema "Lie groups and Lie algebras":
Bourbaki, Nicolas. Lie Groups and Lie Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-89394-3.
Komrakov, B. P., I. S. Krasil’shchik, G. L. Litvinov e A. B. Sossinsky, a cura di. Lie Groups and Lie Algebras. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5258-7.
Serre, Jean-Pierre. Lie Algebras and Lie Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-540-70634-2.
Bourbaki, Nicolas. Lie groups and Lie algebras. Berlin: Springer, 2004.
Nicolas Bourbaki. Lie groups and Lie algebras. Berlin: Springer-Verlag, 1989.
Onishchik, A. L., e E. B. Vinberg, a cura di. Lie Groups and Lie Algebras III. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-03066-0.
Onishchik, A. L., a cura di. Lie Groups and Lie Algebras I. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-57999-8.
Hall, Brian C. Lie Groups, Lie Algebras, and Representations. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13467-3.
Hall, Brian C. Lie Groups, Lie Algebras, and Representations. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/978-0-387-21554-9.
V, Gorbatsevich V., Onishchik A. L e Onishchik A. L, a cura di. Lie groups and Lie algebras I. Berlin: Springer-Verlag, 1993.
Capitoli di libri sul tema "Lie groups and Lie algebras":
Duistermaat, J. J., e J. A. C. Kolk. "Lie Groups and Lie Algebras". In Lie Groups, 1–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56936-4_1.
San Martin, Luiz A. B. "Lie Groups and Lie Algebras". In Lie Groups, 87–116. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-61824-7_5.
Woit, Peter. "Lie Algebras and Lie Algebra Representations". In Quantum Theory, Groups and Representations, 55–71. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64612-1_5.
Kosmann-Schwarzbach, Pr Yvette, e Stephanie Frank Singer. "Lie Groups and Lie Algebras". In Groups and Symmetries, 47–70. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-78866-1_4.
Kosmann-Schwarzbach, Yvette. "Lie Groups and Lie Algebras". In Groups and Symmetries, 59–88. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-94360-8_4.
Iachello, Francesco. "Lie Groups". In Lie Algebras and Applications, 37–51. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44494-8_3.
Jeevanjee, Nadir. "Groups, Lie Groups, and Lie Algebras". In An Introduction to Tensors and Group Theory for Physicists, 109–86. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-14794-9_4.
Jeevanjee, Nadir. "Groups, Lie Groups, and Lie Algebras". In An Introduction to Tensors and Group Theory for Physicists, 87–143. Boston: Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-4715-5_4.
Iachello, Francesco. "Lie Algebras and Lie Groups". In Lie Algebras and Applications, 53–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-44494-8_4.
Conlon, Lawrence. "Lie Groups and Lie Algebras". In Differentiable Manifolds, 127–57. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4757-2284-0_5.
Atti di convegni sul tema "Lie groups and Lie algebras":
Galaviz, Imelda. "Introductory Lectures on Lie Groups and Lie Algebras". In ADVANCED SUMMER SCHOOL IN PHYSICS 2005: Frontiers in Contemporary Physics EAV05. AIP, 2006. http://dx.doi.org/10.1063/1.2160969.
Kawazoe, T., T. Oshima e S. Sano. "Representation Theory of Lie Groups and Lie Algebras". In Fuji-Kawaguchiko Conference on Representation Theory of Lie Groups and Lie Algebras. WORLD SCIENTIFIC, 1992. http://dx.doi.org/10.1142/9789814537162.
Akter, Sharmin, Md Monirul Islam, Md Rokunojjaman e Salma Nasrin. "Operations of Lie Groups and Lie Algebras on Manifolds". In 2021 International Conference on Science & Contemporary Technologies (ICSCT). IEEE, 2021. http://dx.doi.org/10.1109/icsct53883.2021.9642569.
Gomez, X., e S. Majid. "Relating quantum and braided Lie algebras". In Noncommutative Geometry and Quantum Groups. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-6.
Kac, Victory G. "INFINITE DIMENSIONAL LIE ALGEBRAS AND GROUPS". In Proceedings of the Infinite Dimensional Lie Algebras and Groups. WORLD SCIENTIFIC, 1989. http://dx.doi.org/10.1142/9789812798343.
Crouch, P., e F. Leita. "On the generation of classical Lie groups and Lie algebras". In 26th IEEE Conference on Decision and Control. IEEE, 1987. http://dx.doi.org/10.1109/cdc.1987.272869.
Ros, German, Julio Guerrero, Angel D. Sappa, Daniel Ponsa e Antonio M. Lopez. "VSLAM pose initialization via Lie groups and Lie algebras optimization". In 2013 IEEE International Conference on Robotics and Automation (ICRA). IEEE, 2013. http://dx.doi.org/10.1109/icra.2013.6631402.
Heyer, Herbert, e Jean Marion. "Analysis on Infinite-Dimensional Lie Groups and Algebras". In International Colloquium Marseille 1997. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814528528.
Kumar, Harshat, Alejandro Parada-Mayorga e Alejandro Ribeiro. "Algebraic Convolutional Filters on Lie Group Algebras". In ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2023. http://dx.doi.org/10.1109/icassp49357.2023.10095164.
Choi, Seul Hee, Xueqing Chen e Ki-Bong Nam. "Automorphism Groups of Some Stable Lie Algebras with Exponential Functions I". In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0008.
Rapporti di organizzazioni sul tema "Lie groups and Lie algebras":
Slawianowski, Jan J., Vasyl Kovalchuk, Agnieszka Martens e Barbara Golubowska. Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mehanics on Lie Groups and Meyhods of Group Algebras. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-22-2011-67-94.
Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-265-278.
Vilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-16-2009-77-91.
Arvanitoyeorgos, Andreas. Lie Transformation Groups and Geometry. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-11-35.
Yanovski, Alexander. Compatible Poisson Tensors Related to Bundles of Lie Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-307-319.
Axford, R. A. Construction of Difference Equations Using Lie Groups. Office of Scientific and Technical Information (OSTI), agosto 1998. http://dx.doi.org/10.2172/1172.
Gilmore, Robert. Relations Among Low-dimensional Simple Lie Groups. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-28-2012-1-45.
Clubok, Kenneth Sherman. Conformal field theory on affine Lie groups. Office of Scientific and Technical Information (OSTI), aprile 1996. http://dx.doi.org/10.2172/260974.
Krishnaprasad, P. S., e Dimitris P. Tsakiris. G-Snakes: Nonholonomic Kinematic Chains on Lie Groups. Fort Belvoir, VA: Defense Technical Information Center, dicembre 1994. http://dx.doi.org/10.21236/ada453004.
Cohen, Frederick R., Mentor Stafa e V. Reiner. On Spaces of Commuting Elements in Lie Groups. Fort Belvoir, VA: Defense Technical Information Center, febbraio 2014. http://dx.doi.org/10.21236/ada606720.