Equivariant Sheaves on Flag Varieties
Representation Theory
2008-09-30 v1
Abstract
We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the extension algebra of the direct sum of the simple equivariant perverse sheaves. This proves a conjecture of Soergel and Lunts in the case of flag varieties.
Cite
@article{arxiv.0809.4785,
title = {Equivariant Sheaves on Flag Varieties},
author = {Olaf M. Schnürer},
journal= {arXiv preprint arXiv:0809.4785},
year = {2008}
}