Auswahl der wissenschaftlichen Literatur zum Thema „Lie groups and Lie algebras“
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Zeitschriftenartikel zum Thema "Lie groups and Lie algebras"
Wüstner, Michael. „Splittable Lie Groups and Lie Algebras“. Journal of Algebra 226, Nr. 1 (April 2000): 202–15. http://dx.doi.org/10.1006/jabr.1999.8162.
Der volle Inhalt der QuelleLord, Nick, und N. Bourbaki. „Lie Groups and Lie Algebras (Chapters 1-3)“. Mathematical Gazette 74, Nr. 468 (Juni 1990): 199. http://dx.doi.org/10.2307/3619408.
Der volle Inhalt der QuelleMikami, Kentaro, und Fumio Narita. „Dual Lie algebras of Heisenberg Poisson Lie groups“. Tsukuba Journal of Mathematics 17, Nr. 2 (Dezember 1993): 429–41. http://dx.doi.org/10.21099/tkbjm/1496162270.
Der volle Inhalt der QuelleHilgert, Joachim, und Karl H. Hofmann. „Semigroups in Lie groups, semialgebras in Lie algebras“. Transactions of the American Mathematical Society 288, Nr. 2 (01.02.1985): 481. http://dx.doi.org/10.1090/s0002-9947-1985-0776389-7.
Der volle Inhalt der QuelleBerenstein, Arkady, und Vladimir Retakh. „Lie algebras and Lie groups over noncommutative rings“. Advances in Mathematics 218, Nr. 6 (August 2008): 1723–58. http://dx.doi.org/10.1016/j.aim.2008.03.003.
Der volle Inhalt der QuelleHOFMANN, K. H., und K. H. NEEB. „Pro-Lie groups which are infinite-dimensional Lie groups“. Mathematical Proceedings of the Cambridge Philosophical Society 146, Nr. 2 (März 2009): 351–78. http://dx.doi.org/10.1017/s030500410800128x.
Der volle Inhalt der QuelleFigueroa-O’Farrill, José. „Lie algebraic Carroll/Galilei duality“. Journal of Mathematical Physics 64, Nr. 1 (01.01.2023): 013503. http://dx.doi.org/10.1063/5.0132661.
Der volle Inhalt der QuelleNahlus, Nazih. „Lie Algebras of Pro-Affine Algebraic Groups“. Canadian Journal of Mathematics 54, Nr. 3 (01.06.2002): 595–607. http://dx.doi.org/10.4153/cjm-2002-021-9.
Der volle Inhalt der QuelleNoohi, Behrang. „Integrating morphisms of Lie 2-algebras“. Compositio Mathematica 149, Nr. 2 (Februar 2013): 264–94. http://dx.doi.org/10.1112/s0010437x1200067x.
Der volle Inhalt der QuelleLauret, Jorge. „Degenerations of Lie algebras and geometry of Lie groups“. Differential Geometry and its Applications 18, Nr. 2 (März 2003): 177–94. http://dx.doi.org/10.1016/s0926-2245(02)00146-8.
Der volle Inhalt der QuelleDissertationen zum Thema "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.
Der volle Inhalt der QuelleBurroughs, 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.
Der volle Inhalt der QuelleKrook, 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.
Der volle Inhalt der QuelleLiegrupper 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 und 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.
Der volle Inhalt der QuelleSantacruz, 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/.
Der volle Inhalt der QuelleNesta 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.
Der volle Inhalt der QuelleIn 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.
Der volle Inhalt der QuelleIn 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, und 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.
Der volle Inhalt der QuelleJakovljevic, Cvjetan, und 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.
Der volle Inhalt der Quelleiv, 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.
Der volle Inhalt der QuelleA 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
Bücher zum Thema "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.
Der volle Inhalt der QuelleKomrakov, B. P., I. S. Krasil’shchik, G. L. Litvinov und A. B. Sossinsky, Hrsg. Lie Groups and Lie Algebras. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5258-7.
Der volle Inhalt der QuelleSerre, Jean-Pierre. Lie Algebras and Lie Groups. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-540-70634-2.
Der volle Inhalt der QuelleBourbaki, Nicolas. Lie groups and Lie algebras. Berlin: Springer, 2004.
Den vollen Inhalt der Quelle findenNicolas Bourbaki. Lie groups and Lie algebras. Berlin: Springer-Verlag, 1989.
Den vollen Inhalt der Quelle findenOnishchik, A. L., und E. B. Vinberg, Hrsg. Lie Groups and Lie Algebras III. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-03066-0.
Der volle Inhalt der QuelleOnishchik, A. L., Hrsg. Lie Groups and Lie Algebras I. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-57999-8.
Der volle Inhalt der QuelleHall, Brian C. Lie Groups, Lie Algebras, and Representations. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-13467-3.
Der volle Inhalt der QuelleHall, 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.
Der volle Inhalt der QuelleV, Gorbatsevich V., Onishchik A. L und Onishchik A. L, Hrsg. Lie groups and Lie algebras I. Berlin: Springer-Verlag, 1993.
Den vollen Inhalt der Quelle findenBuchteile zum Thema "Lie groups and Lie algebras"
Duistermaat, J. J., und 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.
Der volle Inhalt der QuelleSan 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.
Der volle Inhalt der QuelleWoit, 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.
Der volle Inhalt der QuelleKosmann-Schwarzbach, Pr Yvette, und 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.
Der volle Inhalt der QuelleKosmann-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.
Der volle Inhalt der QuelleIachello, 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.
Der volle Inhalt der QuelleJeevanjee, 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.
Der volle Inhalt der QuelleJeevanjee, 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.
Der volle Inhalt der QuelleIachello, 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.
Der volle Inhalt der QuelleConlon, 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.
Der volle Inhalt der QuelleKonferenzberichte zum Thema "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.
Der volle Inhalt der QuelleKawazoe, T., T. Oshima und 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.
Der volle Inhalt der QuelleAkter, Sharmin, Md Monirul Islam, Md Rokunojjaman und 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.
Der volle Inhalt der QuelleGomez, X., und 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.
Der volle Inhalt der QuelleKac, 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.
Der volle Inhalt der QuelleCrouch, P., und 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.
Der volle Inhalt der QuelleRos, German, Julio Guerrero, Angel D. Sappa, Daniel Ponsa und 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.
Der volle Inhalt der QuelleHeyer, Herbert, und 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.
Der volle Inhalt der QuelleKumar, Harshat, Alejandro Parada-Mayorga und 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.
Der volle Inhalt der QuelleChoi, Seul Hee, Xueqing Chen und 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.
Der volle Inhalt der QuelleBerichte der Organisationen zum Thema "Lie groups and Lie algebras"
Slawianowski, Jan J., Vasyl Kovalchuk, Agnieszka Martens und 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.
Der volle Inhalt der QuelleVilasi, Gaetano. Nambu Dynamics, n-Lie Algebras and Integrability. GIQ, 2012. http://dx.doi.org/10.7546/giq-10-2009-265-278.
Der volle Inhalt der QuelleVilasi, 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.
Der volle Inhalt der QuelleArvanitoyeorgos, Andreas. Lie Transformation Groups and Geometry. GIQ, 2012. http://dx.doi.org/10.7546/giq-9-2008-11-35.
Der volle Inhalt der QuelleYanovski, Alexander. Compatible Poisson Tensors Related to Bundles of Lie Algebras. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-307-319.
Der volle Inhalt der QuelleAxford, R. A. Construction of Difference Equations Using Lie Groups. Office of Scientific and Technical Information (OSTI), August 1998. http://dx.doi.org/10.2172/1172.
Der volle Inhalt der QuelleGilmore, 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.
Der volle Inhalt der QuelleClubok, Kenneth Sherman. Conformal field theory on affine Lie groups. Office of Scientific and Technical Information (OSTI), April 1996. http://dx.doi.org/10.2172/260974.
Der volle Inhalt der QuelleKrishnaprasad, P. S., und Dimitris P. Tsakiris. G-Snakes: Nonholonomic Kinematic Chains on Lie Groups. Fort Belvoir, VA: Defense Technical Information Center, Dezember 1994. http://dx.doi.org/10.21236/ada453004.
Der volle Inhalt der QuelleCohen, Frederick R., Mentor Stafa und V. Reiner. On Spaces of Commuting Elements in Lie Groups. Fort Belvoir, VA: Defense Technical Information Center, Februar 2014. http://dx.doi.org/10.21236/ada606720.
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