Quantum Supergroups

Marcillaud de Goursac, Axel
(2014) 30th International Colloquium on Group Theoretical Methods in Physics — Location: University of Ghent (14.July.2014)

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  • Marcillaud de Goursac, AxelUCLouvain
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Abstract
In this presentation, we introduce topological quantum supergroups and their representations. Then, we expose the construction of the non-formal deformation quantization of the abelian supergroups R^{m|n} and its universal deformation formula. By using it, we construct a class of Fréchet solvable quantum supergroups as well as quantum supergroups with supertoral subgroups. For such quantum supergroups, we find an analog of Kac-Takesaki operators that are superunitary and satisfy the pentagonal relation.
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Marcillaud de Goursac, A. (2014). Quantum Supergroups. 30th International Colloquium on Group Theoretical Methods in Physics, University of Ghent. https://hdl.handle.net/2078.5/68240