Noncommutative Supergeometry and Quantum Supergroups
Quantum Algebra
2015-06-23 v1 Mathematical Physics
math.MP
Operator Algebras
Abstract
This is a review of concepts of noncommutative supergeometry - namely Hilbert superspace, C*-superalgebra, quantum supergroup - and corresponding results. In particular, we present applications of noncommutative supergeometry in harmonic analysis of Lie supergroups, non-formal deformation quantization of supermanifolds, quantum field theory on noncommutative spaces; and we give explicit examples such as deformation of flat superspaces, noncommutative supertori, solvable topological quantum supergroups.
Cite
@article{arxiv.1501.06316,
title = {Noncommutative Supergeometry and Quantum Supergroups},
author = {Axel de Goursac},
journal= {arXiv preprint arXiv:1501.06316},
year = {2015}
}
Comments
12 pages, Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Ghent, July 2014)