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arXiv:2203.09007 [math.RT]AbstractReferencesReviewsResources

A categorification of the Lusztig--Vogan module

Scott Larson, Anna Romanov

Published 2022-03-17Version 1

We construct two categorifications of the Lusztig--Vogan module associated to a real reductive algebraic group. The first categorification is given by semisimple complexes in an equivariant derived category, and the second is constructed as a module category over Soergel bimodules. Our categorifications are related by taking equivariant hypercohomology.

Comments: 60 pages, preliminary version, comments welcome
Categories: math.RT, math.AG
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