Gradings on simple Lie algebras

Gradings on simple Lie algebras

by Elduque, Alberto

Type Book
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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 E8E8 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 a…

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Title Statements

  • Full title :Gradings on simple Lie algebras / Alberto Elduque, Mikhail Kochetov.

Summary

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 E8E8 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 neighboring areas.

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Edition Statements

  • Publication Date:©2013

Publication Statements

The Physical Object

  • Description:xiii, 336 páginas : ilustraciones : 26 cm

Edition Identifiers

  • ISBN:9780821898468, 0821898469
  • oclc:ocn981398430
  • LC Classification:QA252.3
  • Dewey Decimal:512.55

Subjects

Álgebras de jordan Algebras de Lie Anillos (Algebra)

Writers

Elduque, Alberto Kochetov, Mikhail

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