Characters and growth of admissible representations of reductive p-adic groups
نویسندگان
چکیده
منابع مشابه
SUPERCUSPIDAL CHARACTERS OF REDUCTIVE p-ADIC GROUPS
We compute the characters of many supercuspidal representations of reductive p-adic groups. Specifically, we deal with representations that arise via Yu’s construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yu’s construction, Fourier transforms of orbital integr...
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We examine the theory of induced representations for non-connected reductive p-adic groups for which G/G is abelian. We first examine the structure of those representations of the form IndGP 0(σ), where P 0 is a parabolic subgroup of G and σ is a discrete series representation of the Levi component of P . Here we develop a theory of R–groups, extending the theory in the connected case. We then ...
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The motivation for the construction is classical. The group GL2(R) acts on the space of all symmetric 2 × 2 real matrices: X : S 7−→ XS X , and preserves the open cone C of positive definite matrices. The quotient PGL2(R) therefore acts on the space P(C), which is the quotient of such matrices modulo positive scalars. The isotropy subgroup of I is the imageO(2) = O(2)/{±I} inPGL2(R), so that P(...
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ژورنال
عنوان ژورنال: Journal of the Institute of Mathematics of Jussieu
سال: 2011
ISSN: 1474-7480,1475-3030
DOI: 10.1017/s1474748011000120