Introduction to finite and infinite dimensional lie (super)algebras:
Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier
2016
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| Schlagworte: | |
| Online-Zugang: | URL des Erstveröffentlichers |
| Zusammenfassung: | Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras Focuses on Kac-Moody algebras |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 online resource |
| ISBN: | 9780128046838 012804683X |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| isbn | 9780128046838 012804683X |
| language | English |
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| spelling | Sthanumoorthy, N. 1945- Verfasser aut Introduction to finite and infinite dimensional lie (super)algebras N. Sthanumoorthy Amsterdam Elsevier 2016 1 online resource txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their algebras, and their representations. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras. Discusses the fundamental structure and all root relationships of Lie algebras and Lie superalgebras and their finite and infinite dimensional representation theory Closely describes BKM Lie superalgebras, their different classes of imaginary root systems, their complete classifications, root-supermultiplicities, and related combinatorial identities Includes numerous tables of the properties of individual Lie algebras and Lie superalgebras Focuses on Kac-Moody algebras MATHEMATICS / Algebra / Intermediate bisacsh Lie algebras fast Lie algebras Erscheint auch als Druck-Ausgabe 9780128046753 Erscheint auch als Druck-Ausgabe 0128046759 http://www.sciencedirect.com/science/book/9780128046753 Verlag URL des Erstveröffentlichers Volltext text file rda |
| spellingShingle | Sthanumoorthy, N. 1945- Introduction to finite and infinite dimensional lie (super)algebras MATHEMATICS / Algebra / Intermediate bisacsh Lie algebras fast Lie algebras |
| title | Introduction to finite and infinite dimensional lie (super)algebras |
| title_auth | Introduction to finite and infinite dimensional lie (super)algebras |
| title_exact_search | Introduction to finite and infinite dimensional lie (super)algebras |
| title_full | Introduction to finite and infinite dimensional lie (super)algebras N. Sthanumoorthy |
| title_fullStr | Introduction to finite and infinite dimensional lie (super)algebras N. Sthanumoorthy |
| title_full_unstemmed | Introduction to finite and infinite dimensional lie (super)algebras N. Sthanumoorthy |
| title_short | Introduction to finite and infinite dimensional lie (super)algebras |
| title_sort | introduction to finite and infinite dimensional lie super algebras |
| topic | MATHEMATICS / Algebra / Intermediate bisacsh Lie algebras fast Lie algebras |
| topic_facet | MATHEMATICS / Algebra / Intermediate Lie algebras |
| url | http://www.sciencedirect.com/science/book/9780128046753 |
| work_keys_str_mv | AT sthanumoorthyn introductiontofiniteandinfinitedimensionalliesuperalgebras |