skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Free unitary groups are (almost) simple

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.

Authors:
 [1]
  1. Department of Mathematics, University of California, Berkeley, California 94720-3840 (United States)
Publication Date:
OSTI Identifier:
22094011
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 53; Journal Issue: 12; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GROUP THEORY; QUANTUM GROUPS; RINGS; SIMULATION

Citation Formats

Chirvasitu, Alexandru. Free unitary groups are (almost) simple. United States: N. p., 2012. Web. doi:10.1063/1.4764860.
Chirvasitu, Alexandru. Free unitary groups are (almost) simple. United States. https://doi.org/10.1063/1.4764860
Chirvasitu, Alexandru. 2012. "Free unitary groups are (almost) simple". United States. https://doi.org/10.1063/1.4764860.
@article{osti_22094011,
title = {Free unitary groups are (almost) simple},
author = {Chirvasitu, Alexandru},
abstractNote = {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.},
doi = {10.1063/1.4764860},
url = {https://www.osti.gov/biblio/22094011}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 12,
volume = 53,
place = {United States},
year = {Sat Dec 15 00:00:00 EST 2012},
month = {Sat Dec 15 00:00:00 EST 2012}
}