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arXiv · 1107.2240

Hochschild cohomology of polynomial representations of $GL_2(\bar{\mathbb{F}}_p)$

Vanessa Miemietz·Will Turner
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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.

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BibTeXRIS

Vanessa Miemietz, Will Turner. 2011-07-12. Hochschild cohomology of polynomial representations of $GL_2(\bar{\mathbb{F}}_p)$. https://arxiv.org/abs/1107.2240

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