Lie algebras of finite and affine type
Material type: BookSeries: Cambridge studies in advanced mathematics ; 96Publication details: Cambridge: Cambridge University Press, 2005.Description: xvii, 632 p. : ill. ; hb, 23 cmISBN:- 9780521851381
- 512.482 CAR
Item type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|
Books | IIT Gandhinagar General Stacks | General | 512.482 CAR (Browse shelf(Opens below)) | 1 | Available | 030128 |
Includes bibliographical references and index.
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 first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of K.
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