A categorification of the Lusztig--Vogan module

Autor: Larson, Scott, Romanov, Anna
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 61 pages; second version, comments welcome
Databáze: arXiv