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Lie Algebras of Finite and Affine Type

Door Roger Carter

Lie Algebras of Finite and Affine Type
CategorieAlgemeen wetenschap
Boeknummer#341967
TitelLie Algebras of Finite and Affine Type
AuteurCarter, Roger
BoektypeGebonden hardcover
UitgeverijCambridge : University Press
Jaar van uitgave2005
ISBN100521851386
ISBN139780521851381
TaalEngels
BeschrijvingOriginal boards, illustrated with numerous equations and diagrams, 8vo. Cambridge Studies in Advanced Mathematics, Series Number 96.
SamenvattingLie 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 Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is also included. An Appendix gives a summary of the basic properties of each Lie algebra of finite and affine type.
Pagina's632
ConditieGoed — Name in pen on title page.
Prijs€ 80,00
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