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>2. 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 - 4 May 2018

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