Abstract

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 integrals, and certain signs and cardinalities that are described explicitly in terms of the datum associated to the representation and of the element at which the character is evaluated.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 1137-1210
Launched on MUSE
2009-07-23
Open Access
No
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