Small spherical nilpotent orbits and K-types of Harish Chandra modules
| dc.creator | King, Donald R. | |
| dc.date | 2006-12-31 | |
| dc.date.accessioned | 2026-07-07T07:37:57Z | |
| dc.date.available | 2026-07-07T07:37:57Z | |
| dc.description | Let G be a connected linear semisimple Lie group with Lie algebra g and maximal compact subgroup K. Let K_C -> Aut(p_C) be the complexified isotropy representation at the identity coset of the corresponding symmetric space. Suppose that O is a nilpotent K_C-orbit in p_C, and bar(O} is its Zariski closure in p_C. We study the K-type decomposition of the ring of regular functions on bar(O} when O is spherical and ``small''. We also show that this decomposition gives the asymptotic directions of K-types in any irreducible (g_C, K)-module whose associated variety is bar(O). | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701034 | |
| dc.identifier | http://arxiv.org/abs/math/0701034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120955 | |
| dc.subject | Representation Theory | |
| dc.subject | Group Theory | |
| dc.subject | 22E46; 14R20, 53D20 | |
| dc.title | Small spherical nilpotent orbits and K-types of Harish Chandra modules | |
| dc.type | text |