Lie Algebras of Finite and Affine Type: Contents
Lie Algebras of Finite and Affine Type: Contents
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DOI：
10.1017/cbo9780511614910
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
R. Carter
中科院分区：
文献类型：
--
作者：
R. Carter
李代数在数学和数学物理中有许多不同的应用。这本书提供了一个彻底的，但轻松的数学治疗的主题，包括两个Cartan，杀死，Weyl理论的有限维简单代数和更现代的理论卡茨穆迪代数。证明是详细和唯一的先决条件是一个健全的知识线性代数。附录提供了每个有限和仿射型李代数的基本性质的总结。
Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The Appendix provides a summary of the basic properties of each Lie algebra of finite and affine type.