Koszul Duality for Quasi-split Real Groups

2015/10/28 by Bezrukavnikov, Roman, Vilonen, Kari · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1510.08343

Abstract

We establish a categorical version of Vogan duality for quasi-split real groups. This proves a conjecture of Soergel in the quasi-split case.

Cited by

• Potent categorical representations

Related

• Tilting sheaves for real groups and Koszul duality
• Semi-simple groups that are quasi-split over a tamely-ramified extension
• A converse theorem for quasi-split even special orthogonal groups over finite fields
• Koszul duality of operads and homology of partition posets
• Categorified Koszul duality of algebras