engleski

Unramified Unitary Duals for Split Classical p-adic Groups ; The topology and Isolated Representations

In the case of the split classical groups Sp(2n, F), SO(2n+1, F) and Ort(2n, F), the solution to the problems of finding an explicit classification of unramified unitary duals (with explicit parameters and with Satake parameters easily computed from them) is given. Also an effective way (an algorithm) for testing unitarity of an arbitrary irreducible unramified representation by its Satake parameter is given. Further, an explicit description of isolated points, and an algorithm for getting limit points for a given sequence in the dual is presented in the paper.

unramified unitary duals, classical groups, p-adic fields

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