BRANCHING RULES FOR UNRAMIFIED PRINCIPAL SERIES REPRESENTATIONS OF GL(3) OVER A p-ADIC FIELD
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چکیده
On restriction to the maximal compact subgroup GL(3, R), an unramified principal series representation of the p-adic group GL(3, F ) decomposes into a direct sum of finite-dimensional irreducibles each appearing with finite multiplicity. We describe a coarser decomposition into components which, although reducible in general, capture the equivalences between the irreducible constituents.
منابع مشابه
BRANCHING RULES FOR RAMIFIED PRINCIPAL SERIES REPRESENTATIONS OF GL(3) OVER A p-ADIC FIELD
We decompose the restriction of ramified principal series representations of the p-adic group GL(3, k) to its maximal compact subgroup K = GL(3, R). Its decomposition is dependent on the degree of ramification of the inducing characters and can be characterized in terms of filtrations of the Iwahori subgroup in K. We establish several irreducibility results and illustrate the decomposition with...
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تاریخ انتشار 2008