Journal of Lie Theory

no. 2
Multiplicity-free Super Vector Spaces
Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 459-481
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.
DOI: 10.5802/jolt.733
Classification: 17A70, 17B10, 15A69, 15A72, 16W22
Keywords: Invariant theory, multiplicity-free actions, supersymmetric algebras 
@article{JOLT_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},
     doi = {10.5802/jolt.733},
     zbl = {1303.20050},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.733/}
}
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T. Pecher. Multiplicity-free Super Vector Spaces. Journal of Lie Theory, Volume 23 (2013) no. 2, pp. 459-481. doi: 10.5802/jolt.733

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