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Gradings on Simple Lie Algebras
Alberto Elduque
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Description for Gradings on Simple Lie Algebras
Hardcover. Series: Mathematical Surveys and Monographs. Num Pages: 342 pages, illustrations. BIC Classification: PBF. Category: (G) General (US: Trade). Dimension: 261 x 182 x 22. Weight in Grams: 776.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2013
Publisher
American Mathematical Society United States
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
342
Place of Publication
Providence, United States
ISBN
9780821898468
SKU
V9780821898468
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Alberto Elduque
Alberto Elduque, Universidad de Zaragoza, Zaragoze, Spain Mikhail Kochetov, Memorial University of Newfoundland, St. John's, NL, Canada
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