Classification of skew multiplicity free modules

Abstract

Let $G$ be a connected reductive group defined over $\CC$ with a finite dimensional representation $V$. The action of $G$ is said to be skew multiplicity-free (SMF) if the exterior algebra $\bigwedge V$ contains no irreducible representation of $G$ with multiplicity $>1$. In this paper we classify all such representations.

arXiv commentFinal version to appear in Transformation Groups