Hochschild Cohomologies of the Associative Conformal Algebra Cend1,x

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Abstract

It is stated that the second Hochshild cohomology group of the associative conformal algebra Cend1,x with values in any bimodule is trivial. Consequently, the given algebra splits off in every extension with nilpotent kernel.

Original languageEnglish
Pages (from-to)36-47
Number of pages12
JournalAlgebra and Logic
Volume58
Issue number1
DOIs
Publication statusPublished - 15 Mar 2019

Keywords

  • associative conformal algebra
  • Hochshild cohomologies
  • split-off radical

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