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Supercuspidal characters of reductive p-adic groups
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 4, August 2009
- pp. 1137-1210
- 10.1353/ajm.0.0060
- Article
- Additional Information
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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.