Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations

B. BoÅ¡njak

doi:10.5802/jolt.1266

B. BoÅ¡njak

Journal of Lie Theory, Volume 32 (2022) no. 4, pp. 1073-1110

Abstract

We consider representations of either symplectic or special odd-orthogonal groups over a non-archimedean local field. We obtain the composition series of a representation induced from essentially Speh and cuspidal representations under certain conditions. Using previous results of the author, we obtain irreducible unitary representations of the considered groups at the ends of complementary series.

Zbl

DOI: 10.5802/jolt.1266

Classification: 22E50, 22D10
Keywords: Composition series, essentially Speh representation, unitary representation, ends of complementary series

@article{JOLT_2022_32_4_a8,
     author = {B. Bo\r{A}{\textexclamdown}njak},
     title = {Composition {Series} and {Unitary} {Subquotients} of {Representations} {Induced} from {Essentially} {Speh} and {Cuspidal} {Representations}},
     journal = {Journal of Lie Theory},
     pages = {1073--1110},
     year = {2022},
     volume = {32},
     number = {4},
     doi = {10.5802/jolt.1266},
     zbl = {1521.22018},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1266/}
}

TY  - JOUR
AU  - B. BoÅ¡njak
TI  - Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations
JO  - Journal of Lie Theory
PY  - 2022
SP  - 1073
EP  - 1110
VL  - 32
IS  - 4
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1266/
DO  - 10.5802/jolt.1266
ID  - JOLT_2022_32_4_a8
ER  -

%0 Journal Article
%A B. BoÅ¡njak
%T Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations
%J Journal of Lie Theory
%D 2022
%P 1073-1110
%V 32
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.1266/
%R 10.5802/jolt.1266
%F JOLT_2022_32_4_a8

B. BoÅ¡njak. Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations. Journal of Lie Theory, Volume 32 (2022) no. 4, pp. 1073-1110. doi: 10.5802/jolt.1266

Cited by Sources: