Unitarizability of a certain class of irreducible representations of classical groups |
| |
Authors: | Marcela Hanzer |
| |
Institution: | (1) Department of Mathematics, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia |
| |
Abstract: | We prove that a certain class of irreducible representations of the classical p-adic groups is unitarizable and in general, can be isolated in the unitary dual. These representations are Aubert duals of
a certain class of square-integrable representations, thus, in this case, Bernstein’s conjecture, which states that the Aubert
involution preserves unitarizability, is confirmed. |
| |
Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 22E35 22E50 Secondary 11F70 |
本文献已被 SpringerLink 等数据库收录! |
|