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:
-
- 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}
}
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