Geodesic
Multiplicity-free Super Vector Spaces
Tobias Pecher1
1Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany
Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 459-481

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17A70, 17B10, 15A69, 15A72, 16W22
Mots-clés : Invariant theory, multiplicity-free actions, supersymmetric algebras

Tobias Pecher  1

1 Institut für Mathematik, Universität Paderborn, Warburger Str. 100, 33098 Paderborn, Germany 
Tobias Pecher. Multiplicity-free Super Vector Spaces. Journal of Lie Theory, Tome 23 (2013) no. 2, pp. 459-481. http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a5/
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     title = {Multiplicity-free {Super} {Vector} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {459--481},
     year = {2013},
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     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_2_a5/}
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