The local character expansion near a tame, semisimple element

Details The local character expansion near a tame, semisimple element The local character expansion near a tame, semisimple element

2005-03-02

arxiv.org/abs/math/0503051v3

Amer. J. Math., 129 (2007), no. 2, 381-403

Mathematics

Representation Theory

20 pages; final version; reference and comments updated; section and bibliography order changed; one typo corrected

Scientific paper

Consider the character of an irreducible admissible representation of a p-adic reductive group. The Harish-Chandra-Howe local expansion expresses this character near a semisimple element as a linear combination of Fourier transforms of nilpotent orbital integrals. Under mild hypotheses, we describe an explicit region on which the local character expansion is valid. We assume neither that the group is connected nor that the underlying field has characteristic zero.

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