engleski

A family of square integrable representations of classical p-adic groups in the case of general half-integral reducibilities.

The aim of this paper is a presentation of a construction of a large family of non-cuspidal irreducible square integrable representations of symplectic and odd-orthogonal p-adic groups, starting from the cuspidal representations of the Levi subgroups. The only information that the author uses about these irreducible cuspidal representations are the generalized rank one reducibilities. The importance of this family comes, among others, from the fact that it contains all the generic irreducible square integrable representations of these groups.

classical p-adic groups; square integrable representations.

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