Hochschild cohomology of polynomial representations of GL2

Vanessa Miemietz, Will Turner

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Abstract

We compute the Hochschild cohomology algebras of Ringel-self-dual blocks of polynomial representations of GL2 over an algebraically closed field of characteristic p > 2, that is, of any block whose number of simple modules is a power of p. These algebras are finite-dimensional and we provide an explicit description of their bases and multiplications.
Original languageEnglish
Pages (from-to)117-170
Number of pages54
JournalDocumenta Mathematica
Volume23
DOIs
Publication statusPublished - 1 Dec 2018

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Hochschild Cohomology
Algebra
Simple Module
Polynomial
Algebraically closed
Multiplication

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Hochschild cohomology of polynomial representations of GL2. / Miemietz, Vanessa; Turner, Will.

In: Documenta Mathematica, Vol. 23, 01.12.2018, p. 117-170.

Research output: Contribution to journalArticle

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