Tate-Shafarevich groups and algebras

Boris Kunyavskiǐ, Vadim Z. Ostapenko

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The Tate-Shafarevich set of a group G defined by Takashi Ono coincides, in the case where G is finite, with the group of outer class-preserving automorphisms of G introduced by Burnside. We consider analogs of this important group-theoretic object for Lie algebras and associative algebras and establish some new structure properties thereof. We also discuss open problems and eventual generalizations to other algebraic structures.

Original languageEnglish
Pages (from-to)819-836
Number of pages18
JournalInternational Journal of Algebra and Computation
Volume33
Issue number4
DOIs
StatePublished - 1 Jun 2023

Bibliographical note

Publisher Copyright:
© 2023 World Scientific Publishing Company.

Keywords

  • associative algebra
  • cohomology
  • derivation
  • Lie algebra

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