Proof of a Conjecture of Bernstein.
Representations of -adic symplectic groups
Induced representations of GL (n, A) for p-adic division algebras A.
Correspondence on characters of irreducible unitary representations of GL(n, ...).
Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
Spherical unitary dual of general linear group over non-Archimidean local field
Let be a local non-archimedean field. The set of all equivalence classes of irreducible spherical representations of is described in the first part of the paper. In particular, it is shown that each irreducible spherical representation is parabolically induced by an unramified character. Bernstein’s result on the irreducibility of the parabolically induced representations of by irreducible unitary ones, and Ol’shanskij’s construction of complementary series give directly a description of all...
Induced representations and classification for and
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