Ebook: Lie Algebras of Finite and Affine Type
Author: Roger Carter
- Genre: Mathematics // Algebra
- Series: Cambridge studies in advanced mathematics 96
- Year: 2005
- Publisher: Cambridge University Press
- City: Cambridge; New York
- Language: English
- djvu
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.
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