Free unitary groups are (almost) simple
Quantum Algebra
2012-11-26 v1 Combinatorics
Representation Theory
Abstract
We show that the quotients of Wang and Van Daele's universal quantum groups by their centers are simple in the sense that they have no normal quantum subgroups, thus providing the first examples of simple compact quantum groups with non-commutative fusion rings.
Keywords
Cite
@article{arxiv.1210.4779,
title = {Free unitary groups are (almost) simple},
author = {Alexandru Chirvasitu},
journal= {arXiv preprint arXiv:1210.4779},
year = {2012}
}
Comments
7 pages + references; to apear in Journal of Mathematical Physics