engleski

Remark on representation theory of general linear groups over a non- archimedean local division algebra

In this paper we give a simple (local) proof of two principal results about irreducible tempered representations of general linear groups over a non-archimedean lo- cal division algebra. We give a proof of the parameterization of the irreducible square integrable representations of these groups by segments of cuspidal representations, and a proof of the irreducibility of the tempered parabolic induction.

non-archimedean local fields ; division algebras ; general linear groups ; Speh representations ; parabolically induced representations ; reducibility ; unitarizability

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