Hochschild cohomology of polynomial representations of GL2

Vanessa Miemietz, Will Turner

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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
Publication statusPublished - 1 Dec 2018

Bibliographical note


The first author acknowledges support from ERC grant PERG07-GA-2010-268109. We would also like to thank the referee for an extremely thorough and helpful report.


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