engleski

On classification of some classes of irreducible representations of classical groups

In the article are considered classifications of some families of irreducible representations, which are important for harmonic analysis on reductive groups. Special attention is devoted to classification (modulo cuspidal data) of irreducible square integrable representations of classical p-adic groups, which implies parameterization of non-unitary duals. In the article is given a new form of this classification.

reductive groups, genral linear groups, classical groups, p-adic fields, archimedean fields, irreducible representations, unitary representations, square integrable representations

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