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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 Korean Mathematical Society 2023 대한수학회지 Vol.60 No.6
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 𝒪.