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 algeb
Lie Algebras of Finite and Affine Type
β Scribed by Roger Carter
- Book ID
- 127418204
- Publisher
- Cambridge University Press
- Year
- 2005
- Tongue
- English
- Weight
- 4 MB
- Series
- Cambridge studies in advanced mathematics 96
- Category
- Library
- City
- Cambridge; New York
- ISBN
- 051113083X
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
The cores of extended affine Lie algebras of reduced types were classified except for type A 1 . In this paper we determine the coordinate algebra of extended affine Lie algebras of type A 1 . It turns out that such an algebra is a unital n -graded Jordan algebra of a certain type, called a Jordan t