Injectivity of a certain cycle map for finite dimensional W-algebras

Details Injectivity of a certain cycle map for finite dimensional W-algebras Injectivity of a certain cycle map for finite dimensional W-algebras

2010-09-13

arxiv.org/abs/1009.2456v3

Mathematics

Representation Theory

Version 3. Arguments updated

Scientific paper

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.

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