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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Bibliographic Details
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
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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