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arXiv · 1406.3757

$GL(m|n)$-supermodules with good and Weyl filtrations

Alexandr N. Zubkov
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Abstract

The purpose of this paper is to prove necessary and sufficient criteria for a $GL(m|n)$-supermodule to have a good or Weryl filtration. We also introduce the notion of a Steinberg supermodule analogous to the classical notion of Steinberg module. We prove that the Steinberg supermodule inherits some properties of the Steinberg module. Some new series of finite-dimensional tilting supermodules are found.

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Alexandr N. Zubkov. 2014-06-14. $GL(m|n)$-supermodules with good and Weyl filtrations. https://arxiv.org/abs/1406.3757

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