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arXiv · 1710.05821

Jantzen filtration and strong linkage principle for modular Lie superalgebras

Lei Pan·Bin Shu
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Abstract

In this paper, we introduce super Weyl groups, their distinguished elements and properties for basic classical Lie superalgebras. Then we formulate Jantzen filtration for baby Verma modules in graded restricted module categories of basic classical Lie superalgebras over an algebraically closed field of odd characteristic, and prove a sum formula in the corresponding Grothendieck groups. We finally obtain a strong linkage principle in such categories.

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BibTeXRIS

Lei Pan, Bin Shu. 2017-10-16. Jantzen filtration and strong linkage principle for modular Lie superalgebras. https://arxiv.org/abs/1710.05821

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