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arXiv · 2302.05782

On modular Soergel bimodules, Harish-Chandra bimodules, and category O

Ivan Losev
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Abstract

In this paper we continue the study of the category of modular Harish-Chandra bimodules initiated by Bezrukavnikov and Riche and also study the modular version of the BGG category $\mathcal{O}$. We prove a version of the Bezrukavnikov-Mirkovic-Rumynin localization theorem for the Harish-Chandra bimodules and for the category $\mathcal{O}$. We also relate the category of Harish-Chandra bimodules to the affine Hecke category building on the prior work of Bezrukavnikov and Riche.

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BibTeXRIS

Ivan Losev. 2023-02-11. On modular Soergel bimodules, Harish-Chandra bimodules, and category O. https://arxiv.org/abs/2302.05782

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