A Construction of Generalized Harish-Chandra Modules with Arbitrary Minimal k-Type
| dc.creator | Penkov, Ivan | |
| dc.creator | Zuckerman, Gregg | |
| dc.date | 2006-03-15 | |
| dc.date.accessioned | 2026-07-07T07:06:56Z | |
| dc.date.available | 2026-07-07T07:06:56Z | |
| dc.description | Let g be a semisimple complex Lie algebra and k in g be any algebraic subalgebra reductive in g. For any simple finite dimensional k-module V, we construct simple (g; k)-modules M with finite dimensional k-isotypic components such that V is a k-submodule of M and the Vogan norm of any simple k-submodule V' of M; V' not isomorphic to V, is greater than the Vogan norm of V . The (g; k)-modules M are subquotients of the fundamental series of (g; k)-modules introduced in [PZ2]. | |
| dc.identifier | https://arxiv.org/abs/math/0603371 | |
| dc.identifier | http://arxiv.org/abs/math/0603371 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110206 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B10 | |
| dc.title | A Construction of Generalized Harish-Chandra Modules with Arbitrary Minimal k-Type | |
| dc.type | text |