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Homology of generalized Steinberg varieties and Weyl group invariants

Homology of generalized Steinberg varieties and Weyl group invariants

Let $G$ be a complex, connected, reductive algebraic group. In this paper we show analogues of the computations by Borho and MacPherson of the invariants and anti-invariants of the cohomology of the Springer fibres of the cone of nilpotent elements, $\mathcal {N}$, of $\operatorname {Lie}(G)$ for the Steinberg variety $Z$ …