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Identical Relations in Lie Algebras

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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.

Author(s): Yuri A. Bahturin
Series: De Gruyter Expositions in Mathematics, 68
Edition: 2
Publisher: De Gruyter
Year: 2021

Language: English
Pages: 530
Tags: Algebra; Lie Algebras

Preface to the second edition
Preface to the first edition
Contents
1 Basic theory of Lie algebras
2 Free Lie algebras
3 Homogeneous structure of free Lie algebras
4 Varieties of Lie algebras
5 Finite basis problem
6 Special Lie algebras: structure, identities, and applications
7 Identities in finite Lie algebras
8 Applications to group theory
9 Codimension growth
10 Subalgebra growth in free Lie algebras
11 Identities of graded Lie algebras
12 Identities of algebras with action of Hopf algebras
13 Engel Lie algebras
14 Miscellaneous topics
Bibliography
Subject index
Index of authors
Index of notation