Injectivity of a certain cycle map for finite dimensional W-algebras
Representation Theory
2011-12-08 v3 Algebraic Geometry
Abstract
We study a certain cycle map defined on finite dimensional modules for the W-algebra with regular integral central character. Via comparison with the theory in postive characteristic, we show that this map injects into the top Borel-Moore homology group of a Springer fibre. This is the first result in a larger program to completely desribe the finite dimensional modules for the W algebras.
Cite
@article{arxiv.1009.2456,
title = {Injectivity of a certain cycle map for finite dimensional W-algebras},
author = {Christopher Dodd},
journal= {arXiv preprint arXiv:1009.2456},
year = {2011}
}
Comments
Version 3. Arguments updated