On some representations of degenerate affine Hecke algebras of type $BC_{n}$
| dc.creator | Ma, Xiaoguang | |
| dc.date | 2008-10-05 | |
| dc.date.accessioned | 2026-07-07T10:07:43Z | |
| dc.date.available | 2026-07-07T10:07:43Z | |
| dc.description | Let G=U(p,q) and K=U(p)xU(q). In arXiv:0801.1530, the authors construct a functor from the category of Harish-Chandra modules for the pair (G,K) to the category of representations of the degenerate affine Hecke algebra of type B_n. In this paper, we study the image of the principal series modules of G under this functor. We describe the dAHA module structure of the image by constructing a family of common eigenvectors of {y_i}. In the rank 1 case, we write down an explicit formula for the generator y_{1} in terms of central elements of U(g) and calculate the eigenvalue of y_{1} by using the central characters. | |
| dc.description | 24 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/0810.0791 | |
| dc.identifier | http://arxiv.org/abs/0810.0791 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170741 | |
| dc.subject | Representation Theory | |
| dc.title | On some representations of degenerate affine Hecke algebras of type $BC_{n}$ | |
| dc.type | text |