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Showing 1 to 5 of 5 for “"p-adic groups"”.
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Counting supercuspidal representations of p-adic groups
… supercuspidal representations of the unitary groups U(1; 1)(F~F0) and U(2; 1)(F~F0) by looking at their characteristic polynomials and then compute the number of all these representations according to their level.
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The unramified principal series of p-adic groups : the Bessel function
Let G be a connected reductive group with a split maximal torus defined over a nonarchimedean local field. I evaluate a matrix coefficient of the unramified principal series of G known as the "Bessel function" at torus elements of dominant coweight. I show that the Bessel function shares many …
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REDUCIBILITY OF PARABOLICALLY INDUCED REPRESENTATIONS
… of parabolically induced representations of $p$-adic groups is one of the basic questions in the representation theory, and generally a hard question. This paper presents how to reduced this question to determining reducibility of representations induced from maximal parabolic subgroups, which …
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The p-adic local langlands conjecture
Let k be a p-adic field. Split reductive groups over k can be described up to k- isomorphism by a based root datum alone, but other groups, called rational forms of the split group, involve an action of the Galois group of k. The Galois action on the based root datum is shared by members of an …