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

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.

preprint2011arXivOpen access
Christopher Dodd
math.RTmath.AG
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Christopher Dodd

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