Identical Relations in Lie Algebras / / Yuri Bahturin.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Bahturin, Yuri,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Series: De Gruyter Expositions in Mathematics , 68
• Physical Description: 1 online resource (XXVI, 516 p.)
• Other title: Frontmatter --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110566659; 9783110750720; 9783110750706; 9783110659061; 9783110754001; 9783110753776; 9783110754131; 9783110753905
• ISSN: 0938-6572
• DOI: 10.1515/9783110566659
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Yuri Bahturin.

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.