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arxiv: 1108.5598 · v2 · pith:ID65S6XOnew · submitted 2011-08-29 · 🧮 math.RT

Multiplicity-free super vector spaces

classification 🧮 math.RT
keywords supermultiplicity-freevectoractionalgebraclassifycomplexcomponents
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Let $V$ be a complex finite dimensional super vector space with an action of a connected semisimple group $G$. We classify those pairs $(G,V)$ for which all homogeneous components of the super symmetric algebra of $V$ decompose multiplicity-free.

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