SU\G(𝔸)/K·U

Asymptotic behaviour of supercuspidal characters of<i>p</i>-adic GL<sub>3</sub>and GL<sub>4</sub>: the generic unramified case

Fiona Murnaghan

Type: Article

Publication Date: 1991-03-01

Citations: 15

DOI: https://doi.org/10.2140/pjm.1991.148.107

Abstract

This paper describes the singular behaviour of the characters of irreducible supercuspidal representations of π of G = GL n (F) around 1 in terms of the values at 1 of certain weighted orbital integrals.The weighted orbital integrals are computed when n = 3 or 4 and π is generic and unramified.

Locations

  • Pacific Journal of Mathematics - View - PDF

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