Geodesic
Multiplicity-free Super Vector Spaces
Journal of Lie theory, Tome 23 (2013) no. 2, pp. 459-481 Cet article a éte moissonné depuis la source Heldermann Verlag

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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.
Classification : 17A70, 17B10, 15A69, 15A72, 16W22
Mots-clés : Invariant theory, multiplicity-free actions, supersymmetric algebras 
@article{JLT_2013_23_2_JLT_2013_23_2_a5,
     author = {T. Pecher },
     title = {Multiplicity-free {Super} {Vector} {Spaces}},
     journal = {Journal of Lie theory},
     pages = {459--481},
     year = {2013},
     volume = {23},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a5/}
}
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T. Pecher . Multiplicity-free Super Vector Spaces. Journal of Lie theory, Tome 23 (2013) no. 2, pp. 459-481. http://geodesic.mathdoc.fr/item/JLT_2013_23_2_JLT_2013_23_2_a5/