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

Fingerprint

Hochschild Cohomology
Algebraically closed
Finite Group
Defects
Non-negative
Imply
Algebra
Integer
Theorem

Keywords

  • block
  • Hochschild cohomology

Cite this

Bounds for Hochschild cohomology of block algebras. / Kessar, Radha; Linckelmann, Markus.

In: Journal of Algebra, Vol. 337, No. 1, 07.2011, p. 318-322.

Research output: Contribution to journalArticle

Kessar, Radha ; Linckelmann, Markus. / Bounds for Hochschild cohomology of block algebras. In: Journal of Algebra. 2011 ; Vol. 337, No. 1. pp. 318-322.
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