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arXiv · 2208.02584

The anti-spherical Hecke categories for Hermitian symmetric pairs

Chris Bowman·Maud De Visscher·Amit Hazi·Emily Norton
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Abstract

We calculate the $p$-Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories.

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Chris Bowman, Maud De Visscher, Amit Hazi, Emily Norton. 2022-08-04. The anti-spherical Hecke categories for Hermitian symmetric pairs. https://arxiv.org/abs/2208.02584

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