Making nontrivially associated modular categories from finite groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that the non-trivially associated tensor category constructed from left coset representatives of a subgroup of a finite group is a modular category. Also we give a definition of the character of an object in a ribbon category which is the category of representations of a braided Hopf algebra in the category. The definition is shown to be adjoint invariant and multiplicative. A detailed example is given. Finally we show an equivalence of categories between the non-trivially associated double D and the category of representations of the double of the group D(X).
Approx 43 pages, uses LaTeX picture environment

Keywords

Quantum Algebra, 18D10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66700

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303058
 http://arxiv.org/abs/math/0303058

Collections

arXiv