Tensor products of singular representations and an extension of the theta-correspondence
| dc.creator | Dvorsky, Alexander | |
| dc.creator | Sahi, Siddhartha | |
| dc.date | 1998-05-01 | |
| dc.date.accessioned | 2026-07-07T05:24:40Z | |
| dc.date.available | 2026-07-07T05:24:40Z | |
| dc.description | In this paper we consider the problem of decomposing tensor products of certain singular unitary representations of a semisimple Lie group G. Using explicit models for these representations (constructed earlier by one of us) we show that the decomposition is controlled by a reductive homogeneous space G'/H'. Our procedure establishes a correspondence between certain unitary representations of G and those of G'. This extends the usual theta--correspondence for dual reductive pairs. As a special case we obtain a correspondence between certain representations of real forms of E_7 and F_4. | |
| dc.description | 19 pages, to appear in Selecta Math 4(1998) | |
| dc.identifier | https://arxiv.org/abs/math/9805002 | |
| dc.identifier | http://arxiv.org/abs/math/9805002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76885 | |
| dc.subject | Representation Theory | |
| dc.title | Tensor products of singular representations and an extension of the theta-correspondence | |
| dc.type | text |