Fréchet Quantum Supergroups
arXiv:1105.2420 · doi:10.2140/pjm.2015.273.169
Abstract
In this paper, we introduce Fréchet quantum supergroups and their representations. By using the universal deformation formula of the abelian supergroups R^{m|n} we construct various classes of Fréchet 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.
21 pages, published version