Poisson homology of the nilpotent cone

Gwyn Bellamy (Glasgow)

Frank Adams 1,

Poisson homology is an important invariant of Poisson varieties. In the case of conic symplectic singularities (such as those occurring in representation theory), this is a bigraded vector space. I will describe how to calculate this bigrading in the case where the Poisson variety is the nilpotent cone inside a semi-simple Lie algebra. This answers a question of Lusztig, and is joint work with T. Schedler.

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