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arXiv · 1705.06980

On Certain Tilting Modules for SL2

Samuel Martin
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Abstract

We give a complete picture of when the tensor product of an induced module and a Weyl module is a tilting module for the algebraic group $SL_2$ over an algebraically closed field of characteristic $p$. Whilst the result is recursive by nature, we give an explicit statement in terms of the $p$-adic expansions of the highest weight of each module.

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Samuel Martin. 2017-05-19. On Certain Tilting Modules for SL2. https://arxiv.org/abs/1705.06980

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