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· 2021

Identical Relations in Lie Algebras

Yuri Bahturin

Short summary

This work delves into the fundamental theory of Lie algebras, focusing on concepts like free Lie algebras, homogeneous structures, and varieties of Lie algebras.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Explores basic theory of Lie algebras, including free and special types.
  • Investigates homogeneous structures within free Lie algebras.
  • Addresses the finite basis problem for varieties of Lie algebras.
  • Discusses applications of Lie algebra identities to group theory.

AI-generated from the title and abstract; the full text is not read.

Abstract

Preface Basic theory of Lie algebras Free Lie algebras Homogeneous structure of free Lie algebras Varieties of Lie algebras Finite basis problem Special Lie algebras: structure, identities and applications Identities in finite Lie algebras Applications to group theory

The authors' abstract, as published at the source., 2021 · DOI ↗

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics