Hochschild cohomology of GL2

Vanessa Miemietz, William Brunt 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
Number of pages36
JournalDocumenta Mathematica
Volume23
DOIs
Publication statusPublished - 2018

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Hochschild Cohomology
Algebra
Simple Module
Algebraically closed
Multiplication
Polynomial

Keywords

  • Hochschild cohomology
  • GL2
  • Koszul duality
  • differential graded algebras

Cite this

Hochschild cohomology of GL2. / Miemietz, Vanessa; Turner, William Brunt.

In: Documenta Mathematica, Vol. 23, 2018.

Research output: Contribution to journalArticle

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