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Infinite Dimensional Lie Algebras : An Introduction / by Victor G. Kac
(Progress in Mathematics. ISSN:2296505X ; 44)
版 | 1st ed. 1983. |
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出版者 | (Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser) |
出版年 | 1983 |
本文言語 | 英語 |
大きさ | XVI, 252 p : online resource |
著者標目 | *Kac, Victor G author SpringerLink (Online service) |
件 名 | LCSH:Topological groups LCSH:Lie groups LCSH:Mathematical physics LCSH:Topology LCSH:Geometry, Differential LCSH:Number theory LCSH:Discrete mathematics FREE:Topological Groups and Lie Groups FREE:Mathematical Methods in Physics FREE:Topology FREE:Differential Geometry FREE:Number Theory FREE:Discrete Mathematics |
一般注記 | 1. Basic definitions -- 2. The invariant bilinear form and the generalized Casimir operator -- 3. Integrable representations and the Weyl group of a Kac-Moody algebra -- 4. Some properties of generalized Cartan matrices -- 5. Real and imaginary roots -- 6. Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group -- 7. Affine Lie algebras: the realization (case k = 1) -- 8. Affine Lie algebras: the realization (case k = 2 or 3). Application to the classification of finite order automorphisms -- 9. Highest weight modules over the Lie algebra g(A) -- 10. Integrable highest weight modules: the character formula -- 11. Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem -- 12. Integrable highest weight modules over affine Lie algebras. Application to ?-function identities -- 13. Affine Lie algebras, theta functions and modular forms -- 14. The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations -- Index of notations and definitions -- References HTTP:URL=https://doi.org/10.1007/978-1-4757-1382-4 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781475713824 |
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EB00228612 |
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