Sl ( 2 ) - Type and Base Change
نویسنده
چکیده
The SL(2)-type of any smooth, irreducible and unitarizable representation of GLn over a p-adic field was defined by Venkatesh. We provide a natural way to extend the definition to all smooth and irreducible representations. For unitarizable representations we show that the SL(2)-type of a representation is preserved under base change with respect to any finite extension. The Klyachko model of a smooth, irreducible and unitarizable representation π of GLn depends only on the SL(2)-type of π. As a consequence we observe that the Klyachko model of π and of its base-change are of the same type.
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تاریخ انتشار 2008