Hochschild cohomology of polynomial representations of $G{L}_2({\bar{\mathbb{F}}}_p)$

Abstract

We compute the Hochschild cohomology algebras of Ringel-self-dual blocks of polynomial representations of $\GL_2$ 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.

arXiv commentrevised version, to appear in Documenta Mathematica

References in corpus (2)

• Lectures on Noncommutative Geometry
• The Weyl extension algebra of $G{L}_2({\bar{\mathbb{F}}}_p)$