Variations on themes of Kostant
| dc.creator | Ginzburg, Victor | |
| dc.date | 2007-10-08 | |
| dc.date | 2008-01-09 | |
| dc.date.accessioned | 2026-07-07T08:53:09Z | |
| dc.date.available | 2026-07-07T08:53:09Z | |
| dc.description | Let g be a complex semisimple Lie algebra and let G' be the Langlands dual group. We give a description of the cohomology algebra of an arbitrary spherical Schubert variety in the loop Grassmannian for G' as a quotient of the form Sym(g^e)/J. Here, J is an appropriate ideal in the symmetric algebra of g^e, the centralizer of a principal nilpotent in g. We also discuss a `topological' proof of Kostant's famous result on the structure of the polynomial algebra on g. | |
| dc.description | Final version to appear in a special volume dedicated to Bertram Kostant. It supercedes arXiv:math.AG/9803141 | |
| dc.identifier | https://arxiv.org/abs/0710.1443 | |
| dc.identifier | http://arxiv.org/abs/0710.1443 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145520 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | Variations on themes of Kostant | |
| dc.type | text |