Lie algebras of finite and affine type

By:

Carter, Roger William

Material type: Book

BookSeries: Cambridge studies in advanced mathematics ; 96Publication details: Cambridge: Cambridge University Press, 2005.Description: xvii, 632 p. : ill. ; hb, 23 cmISBN:

9780521851381

Subject(s):

DDC classification:

512.482 CAR

Summary: 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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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

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Previous	512.44 ZAR Commutative algebra, Vol. I	512.44 ZAR Commutative algebra, Vol. II	512.46 DER Introduction to quiver representations	512.482 CAR Lie algebras of finite and affine type	512.482 FAR Analysis on lie groups	512.482 GEC Character theory of finite groups of Lie type : a guided tour	512.482 KIR Introduction to lie groups and lie algebras	Next

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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