Gradings on Simple Lie Algebras
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A01=Alberto Elduque
A01=Mikhail Kochetov
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Author_Alberto Elduque
Author_Mikhail Kochetov
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Product details
- ISBN 9780821898468
- Weight: 772g
- Publication Date: 30 Aug 2013
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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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).
This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences (AARMS).
Alberto Elduque, Universidad de Zaragoza, Zaragoze, Spain
Mikhail Kochetov, Memorial University of Newfoundland, St. John's, NL, Canada
Mikhail Kochetov, Memorial University of Newfoundland, St. John's, NL, Canada
