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220503 ||| eng |
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|a 978-3-11-056665-9
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|a QA252.3
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|a Bahturin, Yuri
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|a Identical Relations in Lie Algebras
|h Elektronische Ressource
|c Yuri Bahturin
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|a 2nd edition
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| 260 |
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|a Berlin ; Boston
|b De Gruyter
|c 2021, ©2021
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| 300 |
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|a XXV, 514 pages
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|a 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
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|a Identität
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|a Gruppentheorie
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|a Lie-Algebra
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|a Algebra
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|a Darstellungstheorie
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|a Lie-Algebra
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|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 490 |
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|a De Gruyter Expositions in Mathematics
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|a 10.1515/9783110566659
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|z 978-3-11-056570-6
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|z 978-3-11-056557-7
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|u https://www.degruyter.com/document/doi/10.1515/9783110566659
|x Verlag
|3 Volltext
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|a 512.55
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|a 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. An authoritative treatment of identical relations in Lie algebras and other classes of algebras Covers all developments in the theory in the last 40 years Of interest to researchers and graduate students working in algebra.
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