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arXiv · 1105.2420

Fr\'echet Quantum Supergroups

Axel de Goursac
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Abstract

In this paper, we introduce Fr\'echet quantum supergroups and their representations. By using the universal deformation formula of the abelian supergroups R^{m|n} we construct various classes of Fr\'echet quantum supergroups that are deformation of classical ones. For such quantum supergroups, we find an analog of Kac-Takesaki operators that are superunitary and satisfy the pentagonal relation.

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BibTeXRIS

Axel de Goursac. 2011-05-12. Fr\'echet Quantum Supergroups. https://doi.org/10.2140/pjm.2015.273.169

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