Geodesic
Composition Series and Unitary Subquotients of Representations Induced from Essentially Speh and Cuspidal Representations
Journal of Lie theory, Tome 32 (2022) no. 4, pp. 1073-111
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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 
@article{JLT_2022_32_4_JLT_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--111},
     year = {2022},
     volume = {32},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a8/}
}
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B. 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. 1073-111. http://geodesic.mathdoc.fr/item/JLT_2022_32_4_JLT_2022_32_4_a8/