Symmetric functions, parabolic category $\mathcal O$ , and the Springer fiber

Brundan, Jonathan

Duke Math. J., Tome 141 (2008) no. 1, p. 41-79 / Harvested from Project Euclid

Résumé

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

Publié le : 2008-05-15
Classification: 20C08

@article{1211574663,
     author = {Brundan, Jonathan},
     title = {Symmetric functions, parabolic category $\mathcal O$ , and the Springer fiber},
     journal = {Duke Math. J.},
     volume = {141},
     number = {1},
     year = {2008},
     pages = { 41-79},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1211574663}
}

Brundan, Jonathan. Symmetric functions, parabolic category $\mathcal O$ , and the Springer fiber. Duke Math. J., Tome 141 (2008) no. 1, pp.  41-79. http://gdmltest.u-ga.fr/item/1211574663/