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Noncompact Semisimple Lie Algebras and Groups /
With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography....
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin/Boston :
De Gruyter,
2016.
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| Colección: | De Gruyter studies in mathematical physics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 082 | 0 | 4 | |a 512/.482 |
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| 100 | 1 | |a Dobrev, V. K., |e author. | |
| 245 | 1 | 0 | |a Noncompact Semisimple Lie Algebras and Groups / |c Vladimir K. Dobrev. |
| 264 | 1 | |a Berlin/Boston : |b De Gruyter, |c 2016. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (408 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 490 | 1 | |a De Gruyter studies in mathematical physics, |x 2194-3532 ; |v volume 35 | |
| 588 | 0 | |a Online resource; title from PDF title page (De Gruyter, viewed October 17, 2016). | |
| 504 | |a Includes bibliographical references (pages 375-401) and index. | ||
| 505 | 0 | |a 1 Introduction ; 1.1 Symmetries ; 1.2 Invariant Differential Operators ; 1.3 Sketch of Procedure ; 1.4 Organization of the Book ; 2 Lie Algebras and Groups ; 2.1 Generalities on Lie Algebras ; 2.1.1 Lie Algebras ; 2.1.2 Subalgebras, Ideals, and Factor-Algebras. | |
| 505 | 8 | |a 2.1.3 Representations 2.1.4 Solvable Lie Algebras ; 2.1.5 Nilpotent Lie Algebras ; 2.1.6 Semisimple Lie Algebras ; 2.1.7 Examples ; 2.2 Elements of Group Theory ; 2.2.1 Definition of a Group ; 2.2.2 Group Actions ; 2.2.3 Subgroups and Factor-Groups ; 2.2.4 Homomorphisms. | |
| 505 | 8 | |a 2.2.5 Direct and Semidirect Products of Groups 2.3 Structure of Semisimple Lie Algebras ; 2.3.1 Cartan Subalgebra ; 2.3.2 Lemmas on Root Systems ; 2.3.3 Weyl Group ; 2.3.4 Cartan Matrix ; 2.4 Classification of Kac-Moody Algebras ; 2.5 Realization of Semisimple Lie Algebras. | |
| 505 | 8 | |a 2.5.1 Special Linear Algebra 2.5.2 Odd Orthogonal Lie Algebra ; 2.5.3 Symplectic Lie Algebra ; 2.5.4 Even Orthogonal Lie Algebra ; 2.5.5 Exceptional Lie Algebra G2 ; 2.5.6 Exceptional Lie Algebra F4 ; 2.5.7 Exceptional Lie Algebras El ; 2.6 Realization of Affine Kac-Moody Algebras. | |
| 505 | 8 | |a 2.6.1 Realization of Affine Type 1 Kac-Moody Algebras 2.6.2 Realization of Affine Type 2 and 3 Kac-Moody Algebras ; 2.6.3 Root System for the Algebras AFF 2 & 3 ; 2.7 Chevalley Generators, Serre Relations, and Cartan-Weyl Basis ; 2.8 Highest Weight Representations of Kac-Moody Algebras. | |
| 500 | |a 2.9 Verma Modules. | ||
| 520 | |a With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Semisimple Lie groups. | |
| 650 | 0 | |a Lie algebras. | |
| 650 | 6 | |a Groupes de Lie semi-simples. | |
| 650 | 6 | |a Algèbres de Lie. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Lie algebras |2 fast | |
| 650 | 7 | |a Semisimple Lie groups |2 fast | |
| 655 | 0 | |a Mathematics; Physics. | |
| 655 | 4 | |a Mathematics; Physics. | |
| 758 | |i has work: |a Noncompact Semisimple Lie Algebras and Groups (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGHqJFgvtyrPCP3cfMtRDm |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Dobrev, Vladimir K. |t Noncompact Semisimple Lie Algebras and Groups. |d Berlin/Boston : De Gruyter, ©2016 |z 9783110435429 |
| 830 | 0 | |a De Gruyter studies in mathematical physics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4691437 |z Texto completo |
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