Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 28 (2018), No. 1, 033--041
Copyright Heldermann Verlag 2018

Homogeneous Distributions on Finite Dimensional Vector Spaces

Huajian Xue
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190 China


Let $V$ be a finite dimensional vector space over a local field $F$. Let $\chi\colon F^\times \rightarrow \C^\times$ be an arbitrary character of $F^\times$. We determine the structure of the natural representation of GL$(V)$ on the space ${\cal S}^*(V)^\chi$ of $\chi$-invariant distributions on $V$.

Keywords: Representation, Schwartz function, tempered distribution, degenerate principal series.

MSC: 22E50

[ Fulltext-pdf  (254  KB)] for subscribers only.