Graded Lie algebras and intersection cohomology
| dc.creator | Lusztig, G. | |
| dc.date | 2006-04-25 | |
| dc.date | 2006-05-11 | |
| dc.date.accessioned | 2026-07-07T07:11:15Z | |
| dc.date.available | 2026-07-07T07:11:15Z | |
| dc.description | Let i be a homomorphism of the multiplicative group into a connected reductive algebraic group over C. Let G^i be the centralizer of the image i. Let LG be the Lie algebra of G and let L_nG (n integer) be the summands in the direct sum decomposition of LG determined by i. Assume that n is not zero. For any G^i-orbit O in L_nG and any irreducible G^i-equivariant local system L on O we consider the restriction of some cohomology sheaf of the intersection cohomology complex of the closure of O with coefficients in L to another orbit O' contained in the closure of O. For any irreducible G^i-equivariant local system L' on O' we would like to compute the multiplicity of L' in that restriction. We present an algorithm which helps in computing that multiplicity. | |
| dc.description | 33 pages | |
| dc.identifier | https://arxiv.org/abs/math/0604535 | |
| dc.identifier | http://arxiv.org/abs/math/0604535 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111686 | |
| dc.subject | Representation Theory | |
| dc.title | Graded Lie algebras and intersection cohomology | |
| dc.type | text |