Symmetric functions, parabolic category O and the Springer fiber

Details Symmetric functions, parabolic category O and the Springer fiber Symmetric functions, parabolic category O and the Springer fiber

2006-08-10

arxiv.org/abs/math/0608235v2

Duke Math. J. 143 (2008), 41-79.

Mathematics

Representation Theory

33 pages

Scientific paper

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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