Irreducibility of unitary group representations and reproducing kernels Hilbert spaces |
| |
| Authors: | M. Bachir Bekka Pierre de la Harpe Rostislav Grigorchuk |
| |
| Affiliation: | 1Département de Mathématiques, Université de Metz, Ile du Saulcy, F-57045 Metz, France;2Section de Mathématiques, Université de Genève, C.P. 240, CH-1211 Genève 24, Suisse;3Texas A&M University, Department of Mathematics, College Station, Texas 77843-3368, USA |
| |
| Abstract: | We discuss unitary representations of groups in Hilbert spaces of functions given together with reproducing kernels, and in particular irreducibility. Our main focus is on examples, including spherical representations of orthogonal groups, distance-transitive finite graphs, irreducibility of induced representations, the discrete series of SL(2,  ), and some representations of PGL(2,  p).The appendix contains examples involving groups acting on rooted trees. |
| |
| Keywords: | Irreducible representations unitary representations reproducing kernels |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
