engleski

The irreducible unramified subquotient of the unramified principal series

In the paper is proved that in a certain induced representation of p– adic symplectic group, an unramified subquotient is a subrepresentation. This result has not only local importance, but it is also very useful in the calculations with the automorphic representations of the corresponding group over adeles, since for an irreducible automorphic representation, almost every local component representation is unramified.

symplectic groups ; p-adic fields ; unramified representations

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