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Journal of Lie Theory 32 (2022), No. 4, 1073--1110
Copyright Heldermann Verlag 2022

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

Barbara Bošnjak
Department of Mathematics, Faculty of Science, University of Zagreb, Croatia
and: Erwin Schrödinger Institute for Mathematics and Physics, University of Vienna, Austria

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.

Keywords: Composition series, essentially Speh representation, unitary representation, ends of complementary series.

MSC: 22E50, 22D10.

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