On blocks of defect two and one simple module, and Lie algebra structure of HHⁱ

David Benson, Radha Kessar, Markus Linckelmann

Research output: Contribution to journalArticle

3 Citations (Scopus)
4 Downloads (Pure)

Abstract

Let k be a field of odd prime characteristic p. We calculate the Lie algebra structure of the first Hochschild cohomology of a class of quantum complete intersections over k. As a consequence, we prove that if B is a defect 2-block of a finite group algebra kG whose Brauer correspondent C has a unique isomorphism class of simple modules, then a basic algebra of B is a local algebra which can be generated by at most 2√ I elements, where I is the inertial index of B, and where we assume that k is a splitting field for B and C.
Original languageEnglish
Pages (from-to)2953-2973
Number of pages21
JournalJournal of Pure and Applied Algebra
Volume221
Issue number12
Early online date24 Feb 2017
DOIs
Publication statusPublished - Dec 2017

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Basic Algebra
Splitting Field
Hochschild Cohomology
Simple Module
Isomorphism Classes
Complete Intersection
Group Algebra
Lie Algebra
Finite Group
Defects
Odd
Calculate
Algebra
Class

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On blocks of defect two and one simple module, and Lie algebra structure of HHⁱ. / Benson, David; Kessar, Radha; Linckelmann, Markus.

In: Journal of Pure and Applied Algebra, Vol. 221, No. 12, 12.2017, p. 2953-2973.

Research output: Contribution to journalArticle

Benson, David ; Kessar, Radha ; Linckelmann, Markus. / On blocks of defect two and one simple module, and Lie algebra structure of HHⁱ. In: Journal of Pure and Applied Algebra. 2017 ; Vol. 221, No. 12. pp. 2953-2973.
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