Hochschild cohomology of polynomial representations of GL2

Miemietz, Vanessa and Turner, Will (2018) Hochschild cohomology of polynomial representations of GL2. Documenta Mathematica, 23. pp. 117-170. ISSN 1431-0643

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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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Depositing User:	Pure Connector
Date Deposited:	12 Feb 2018 11:30
Last Modified:	15 Aug 2025 00:37
URI:	https://ueaeprints.uea.ac.uk/id/eprint/66272
DOI:	10.25537/dm.2018v23.117-170

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