Gradings on Simple Lie Algebras (Hardcover)

Gradings are ubiquitous in the theory of Lie algebras, from the root space decomposition of a complex semisimple Lie algebra relative to a Cartan subalgebra to the beautiful Dempwolff decomposition of $E_8$ as a direct sum of thirty-one Cartan subalgebras. This monograph is a self-contained exposition of the classification of gradings by arbitrary groups on classical simple Lie algebras over algebraically closed fields of characteristic not equal to 2 as well as on some nonclassical simple Lie algebras in positive characteristic. Other important algebras also enter the stage: matrix algebras, the octonions, and the Albert algebra. Most of the presented results are recent and have not yet appeared in book form. This work can be used as a textbook for graduate students or as a reference for researchers in Lie theory and neighbouring areas. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences (AARMS).

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Mathematical Surveys and Monographs
Release date:	July 2013
Authors:	Alberto Elduque • Mikhail Kochetov
Dimensions:	261 x 182 x 22mm (L x W x T)
Format:	Hardcover
Pages:	342
ISBN-13:	978-0-8218-9846-8
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Promotions
LSN:	0-8218-9846-9
Barcode:	9780821898468

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