Geodesic
Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations
Barbara Bošnjak1, 2
1Department of Mathematics, Faculty of Science, University of Zagreb, Croatia
2Erwin Schrödinger Institute for Mathematics and Physics, University of Vienna, Austria
Journal of Lie Theory, Tome 32 (2022) no. 4, pp. 1073-1110

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 22E50, 22D10
Mots-clés : Composition series, essentially Speh representation, unitary representation, ends of complementary series

Barbara Bošnjak  1 , 2

1 Department of Mathematics, Faculty of Science, University of Zagreb, Croatia
2 Erwin Schrödinger Institute for Mathematics and Physics, University of Vienna, Austria 
Barbara Bošnjak. Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations. Journal of Lie Theory, Tome 32 (2022) no. 4, pp. 1073-1110. http://geodesic.mathdoc.fr/item/JOLT_2022_32_4_a8/
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     title = {Composition {Series} and {Unitary} {Subquotients} of {Representations} {Induced} from {Essentially} {Speh} and {Cuspidal} {Representations}},
     journal = {Journal of Lie Theory},
     pages = {1073--1110},
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