Bounds for Hochschild cohomology of block algebras

Radha Kessar, Markus Linckelmann

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic p the dimension of HHn(B) is bounded by a function depending only on the nonnegative integer n and the defect of B. The proof uses in particular a theorem of Brauer and Feit which implies the result for n=0.
Original languageEnglish
Pages (from-to)318-322
Number of pages5
JournalJournal of Algebra
Volume337
Issue number1
Early online date30 Mar 2011
DOIs
Publication statusPublished - Jul 2011

Keywords

  • block
  • Hochschild cohomology

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