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Symmetric functions, parabolic category O and the Springer fiber

Jonathan Brundan
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Abstract

We prove that the center of a regular block of parabolic category O for the general linear Lie algebra is isomorphic to the cohomology algebra of a corresponding Springer fiber. This was conjectured by Khovanov. We also find presentations for the centers of singular blocks, which are cohomology algebras of Spaltenstein varieties.

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Jonathan Brundan. 2007-08-29. Symmetric functions, parabolic category O and the Springer fiber. https://arxiv.org/abs/math/0608235

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