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arXiv · 2205.12039

Finite quotients of singular Artin monoids and categorification of the desingularization map

Helena Jonsson·Volodymyr Mazorchuk·Elin Persson Westin·Shraddha Srivastava·Mateusz Stroinski·Xiaoyu Zhu
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Abstract

We study various aspects of the structure and representation theory of singular Artin monoids. This includes a number of generalizations of the desingularization map and explicit presentations for certain finite quotient monoids of diagrammatic nature. The main result is a categorification of the classical desingularization map for singular Artin monoids associated to finite Weyl groups using BGG category $\mathcal{O}$.

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Helena Jonsson, Volodymyr Mazorchuk, Elin Persson Westin, Shraddha Srivastava, Mateusz Stroinski, Xiaoyu Zhu. 2022-05-24. Finite quotients of singular Artin monoids and categorification of the desingularization map. https://arxiv.org/abs/2205.12039

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