Fr\'echet Quantum Supergroups
Quantum Algebra
2015-01-12 v4 Mathematical Physics
Functional Analysis
math.MP
Representation Theory
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.
Cite
@article{arxiv.1105.2420,
title = {Fr\'echet Quantum Supergroups},
author = {Axel de Goursac},
journal= {arXiv preprint arXiv:1105.2420},
year = {2015}
}
Comments
21 pages, published version