Bounds for Hochschild cohomology of block algebras

Radha Kessar; Markus Linckelmann

doi:10.1016/j.jalgebra.2011.03.009

Bounds for Hochschild cohomology of block algebras

Radha Kessar, Markus Linckelmann

Mathematical Science

Research output: Contribution to journal › Article › peer-review

3 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 language	English
Pages (from-to)	318-322
Number of pages	5
Journal	Journal of Algebra
Volume	337
Issue number	1
Early online date	30 Mar 2011
DOIs	https://doi.org/10.1016/j.jalgebra.2011.03.009
Publication status	Published - Jul 2011

Keywords

block
Hochschild cohomology

Access to Document

10.1016/j.jalgebra.2011.03.009Licence: Unspecified

Cite this

@article{de92b4188d504acaa7841d87c136af79,

title = "Bounds for Hochschild cohomology of block algebras",

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.",

keywords = "block, Hochschild cohomology",

author = "Radha Kessar and Markus Linckelmann",

year = "2011",

month = jul,

doi = "10.1016/j.jalgebra.2011.03.009",

language = "English",

volume = "337",

pages = "318--322",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Bounds for Hochschild cohomology of block algebras

AU - Kessar, Radha

AU - Linckelmann, Markus

PY - 2011/7

Y1 - 2011/7

N2 - 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.

AB - 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.

KW - block

KW - Hochschild cohomology

U2 - 10.1016/j.jalgebra.2011.03.009

DO - 10.1016/j.jalgebra.2011.03.009

M3 - Article

SN - 0021-8693

VL - 337

SP - 318

EP - 322

JO - Journal of Algebra

JF - Journal of Algebra

IS - 1

ER -

Bounds for Hochschild cohomology of block algebras

Abstract

Keywords

Access to Document

Fingerprint

Cite this