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Parity sheaves and the Hecke category

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arxiv 1801.00896 v1 pith:CU2RY23F submitted 2018-01-03 math.RT math.AG

Geordie Williamson This is my paper · ORCID
classification math.RTmath.AG
keywords categoryheckeparitysheavesbasisdiagrammaticdiscussduality
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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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Cited by 1 Pith paper

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  1. Idempotents, traces, and dimensions in Hecke categories

    math.RT 2025-07 conditional novelty 8.0 of 10

    The paper provides closed formulas for recursible local intersection forms and recursive partial trace formulas that reduce categorical dimensions in asymptotic Hecke categories to diagrammatic computations.

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