A categorification of the Lusztig--Vogan module
Representation Theory
2022-07-15 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.2203.09007,
title = {A categorification of the Lusztig--Vogan module},
author = {Scott Larson and Anna Romanov},
journal= {arXiv preprint arXiv:2203.09007},
year = {2022}
}
Comments
61 pages; second version, comments welcome