Tensor categories attached to exceptional cells in Weyl groups

Victor Ostrik

Tensor categories attached to exceptional cells in Weyl groups

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arxiv 1108.3060 v1 pith:2SVVIBQJ submitted 2011-08-15 math.RT

Victor Ostrik This is my paper · ORCID

classification math.RT

keywords categoryweylassociatedattachedcasecategoriescellcells

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Using truncated convolution of perverse sheaves on a flag variety Lusztig associated a monoidal category to a two sided cell in the Weyl group. We identify this category in the case which was not decided previously.

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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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