Mathematics – Representation Theory
Scientific paper
2006-08-10
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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