An exotic Springer correspondence for symplectic groups
| dc.creator | Kato, Syu | |
| dc.date | 2006-07-19 | |
| dc.date | 2008-01-27 | |
| dc.date.accessioned | 2026-07-07T08:56:18Z | |
| dc.date.available | 2026-07-07T08:56:18Z | |
| dc.description | This paper is a sequel to math.RT/0601155. Let G be a complex symplectic group. In math.RT/0601155, we constructed a certain G-variety N = N_1, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for the Weyl group of type C, but shares a similar flavor with that of type A case. (I.e. there appears no non-trivial local system and the correspondence is bijective.) As an application, we present one sufficient condition for the bijectivity of our exotic Deligne-Langlands correspondence [K1]. | |
| dc.description | v2; 16pp. title changed, Nov/07 version except for one reference, may be merged into next revision of math.RT/0601155 | |
| dc.identifier | https://arxiv.org/abs/math/0607478 | |
| dc.identifier | http://arxiv.org/abs/math/0607478 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146565 | |
| dc.subject | Representation Theory | |
| dc.subject | Algebraic Geometry | |
| dc.title | An exotic Springer correspondence for symplectic groups | |
| dc.type | text |