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arxiv: 1004.0149 · v3 · pith:TSC27QD7new · submitted 2010-04-01 · 🧮 math.RT

Classification of skew multiplicity free modules

classification 🧮 math.RT
keywords multiplicityrepresentationskewactionalgebrabigwedgeclassificationclassify
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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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