A variant of the induction theorem for Springer representations
| dc.creator | Shoji, Toshiaki | |
| dc.date | 2005-07-27 | |
| dc.date | 2006-07-04 | |
| dc.date.accessioned | 2026-07-07T06:42:41Z | |
| dc.date.available | 2026-07-07T06:42:41Z | |
| dc.description | Let G be a simple algebraic group over C with the Weyl group W. For a unipotent element u of G, let B_u be the variety of Borel subgroups of G containing u. Let L be a Levi subgroup of a parabolic subgroup of G with the Weyl subgroup W_L. Assume that u is in L and let B_u^L be the corresponding variety for L. The induction theorem of Springer representations describes the W-module structure of H*(B_u) in terms of the W_L-module structure of H*(B_u^L). In this paper, we prove a certain refinement of the induction theorem by considering the action of a cyclic group of order e on H^*(B_u). As a corollary, we obtain a description of the values of Green functions at e-th root of unity. | |
| dc.description | 18 pages. In this revised version, some errors are corrected. In particular some restrictions are added to the main results | |
| dc.identifier | https://arxiv.org/abs/math/0507558 | |
| dc.identifier | http://arxiv.org/abs/math/0507558 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102136 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G05, 20G10, 20G40 | |
| dc.title | A variant of the induction theorem for Springer representations | |
| dc.type | text |