Izvorni znanstveni članak
https://doi.org/10.21857/ypn4oc4q59
On reducibility of representations induced from the essentially Speh representations and discrete series
Ivan Matić
orcid.org/0000-0001-9264-9293
; School of Applied Mathematics and Informatics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia
Sažetak
Let π stand for an essentially Speh representation of the form L(δ([νa ρ, νa+k ρ]), ..., δ([νa+n-1 ρ, νa+k+n-1} ρ])), where ρ is an irreducible cuspidal representation of the general linear group over a non-archimedean local field or its separable quadratic extension, a ≤ 0, 2a + k > 0, and n ≥ 1. Let σ denote a discrete series representation of either symplectic, special odd-orthogonal, or unitary group. We determine when the induced representation π ⋊ σ reduces.
Ključne riječi
Classical p-adic groups; essentially Speh representations; discrete series
Hrčak ID:
313635
URI
Datum izdavanja:
24.1.2024.
Posjeta: 126 *