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arXiv · 1004.0149

Classification of skew multiplicity free modules

Tobias Pecher
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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.

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Tobias Pecher. 2010-04-01. Classification of skew multiplicity free modules. https://arxiv.org/abs/1004.0149

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