Hochschild cohomology of GL2

Vanessa Miemietz, William Brunt Turner

Research output: Contribution to journalArticle

7 Downloads (Pure)

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 - 31 Dec 2018

Keywords

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

Fingerprint Dive into the research topics of 'Hochschild cohomology of GL2'. Together they form a unique fingerprint.

  • Cite this