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arXiv · 1810.04052

$p$-filtrations of dual Weyl modules

Henning Haahr Andersen
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Abstract

Let $G$ be a semisimple algebraic group over a field of characteristic $p > 0$. We prove that the dual Weyl modules for $G$ all have $p$-filtrations when $p$ is not too small. Moreover, we give applications of this theorem to $p^n$-filtrations for $n > 1$, to modules containing the Steinberg module as a tensor factor, and to the Donkin conjecture on modules having $p$-filtrations.

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Henning Haahr Andersen. 2018-10-09. $p$-filtrations of dual Weyl modules. https://arxiv.org/abs/1810.04052

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