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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.

The volume is introduced with a schedule of the conference sessions held in May 1998 in Moscow, and a vita of Kurosh (1908-1971), a forefather of modern algebra affiliated with Moscow State U. The names of the six sessions offer a sense of the diversity of participant interests: group theory; theory of rings and modules, homological algebra, and K-theory; Lie groups and Lie algebras, invariant theory, and algebraic groups; algebraic geometry, algebraic number theory, commutative algebra; algebraic systems; and computer algebra, and algorithmic problems. A sampling of the 32 titles by the...

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic.

Editorial Board

Lev Birbrair,...