Identical Relations in Lie Algebras / / 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, identi...
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Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2021 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2021] ©2021 |
Year of Publication: | 2021 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
68 |
Online Access: | |
Physical Description: | 1 online resource (XXVI, 516 p.) |
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Table of Contents:
- 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