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Journal of Lie Theory 23 (2013), No. 2, 459--481
Copyright Heldermann Verlag 2013

Multiplicity-free Super Vector Spaces

Tobias Pecher
Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany

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.

Keywords: Invariant theory, multiplicity-free actions, supersymmetric algebras.

MSC: 17A70, 17B10, 15A69, 15A72, 16W22

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