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Mixed modular perverse sheaves on moment graphs

2017/03/05 by Makisumi, Shotaro
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1703.01571

Abstract

We study an analogue of the Achar-Riche "mixed modular derived category" for moment graphs. In particular, given a Coxeter group W and a reflection faithful representation \mathfrakh, we introduce a category that plays the role of Schubert-stratified mixed modular perverse sheaves on "the flag variety associated to (W, \mathfrakh)." We show that this Soergel-theoretic generalization of graded category O is graded highest weight.

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