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2021•Unpublished venueRequires access

Identical Relations in Lie Algebras

Yuri Bahturin

Open publisher page 367 citations

Abstract

This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.

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What this paper is about

This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.

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OpenAlex reports 367 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.

Key concepts: Killing form, Adjoint representation of a Lie algebra, Representation of a Lie group, Mathematics, Affine Lie algebra, Lie conformal algebra, Non-associative algebra, Pure mathematics

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