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Parity sheaves and the Hecke category

Published 3 Jan 2018 in math.RT and math.AG | (1801.00896v1)

Abstract: The Hecke category is emerging as a fundamental object in representation theory. We give a motivated introduction to this category in both its geometric (via parity sheaves) and diagrammatic (generators and relations) incarnations. We also discuss the p-canonical basis and Koszul duality for the Hecke category.

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