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Infinite-dimensional Lie algebras
This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of {\widehat {\mathfrak {sl}}}(2, {\mathbb C}), root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main s...
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Lenguaje: | eng |
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American Mathematical Society
2000
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Acceso en línea: | http://cds.cern.ch/record/2713814 |
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author | Wakimoto, Minoru |
author_facet | Wakimoto, Minoru |
author_sort | Wakimoto, Minoru |
collection | CERN |
description | This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of {\widehat {\mathfrak {sl}}}(2, {\mathbb C}), root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic. |
id | cern-2713814 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2000 |
publisher | American Mathematical Society |
record_format | invenio |
spelling | cern-27138142021-04-21T18:09:13Zhttp://cds.cern.ch/record/2713814engWakimoto, MinoruInfinite-dimensional Lie algebrasMathematical Physics and MathematicsThis volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of {\widehat {\mathfrak {sl}}}(2, {\mathbb C}), root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character formula for Kac-Moody superalgebras, which is explained in a very general setting. Only elementary linear algebra and group theory are assumed. Also covered is modular property and asymptotic behavior of integrable characters of affine Lie algebras. The exposition is self-contained and includes examples. The book can be used in a graduate-level course on the topic.American Mathematical Societyoai:cds.cern.ch:27138142000 |
spellingShingle | Mathematical Physics and Mathematics Wakimoto, Minoru Infinite-dimensional Lie algebras |
title | Infinite-dimensional Lie algebras |
title_full | Infinite-dimensional Lie algebras |
title_fullStr | Infinite-dimensional Lie algebras |
title_full_unstemmed | Infinite-dimensional Lie algebras |
title_short | Infinite-dimensional Lie algebras |
title_sort | infinite-dimensional lie algebras |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/2713814 |
work_keys_str_mv | AT wakimotominoru infinitedimensionalliealgebras |