Homogeneous distributions on finite dimensional vector spaces

2016/12/12 by Xue, Huajian · 2 citations
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1612.03623

Abstract

Let V be a finite dimensional vector space over a local field F. Let χ: F^× → \mathbb C^× be an arbitrary character of F^×. We determine the structure of the natural representation of GL(V) on the space S^*(V)^χ of χ-invariant distributions on V.

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