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Totally positive quantum groups De Commer, Kenny
Description
We construct new examples of locally compact quantum groups: the totally positive quantum SL(N,R). The case N=2 was treated by I. Ip (and implicitly in work of S.L. Woronowicz and S. Zakrzewski). These locally compact quantum groups are built from modular multiplicative unitaries, which themselves arise from combinatorics related to the theory of (quantum) cluster algebras. This is based on joint work with G. Schrader, A. Shapiro and C. Voigt.
Item Metadata
| Title |
Totally positive quantum groups
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2025-12-01
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| Description |
We construct new examples of locally compact quantum groups: the totally positive quantum SL(N,R). The case N=2 was treated by I. Ip (and implicitly in work of S.L. Woronowicz and S. Zakrzewski). These locally compact quantum groups are built from modular multiplicative unitaries, which themselves arise from combinatorics related to the theory of (quantum) cluster algebras. This is based on joint work with G. Schrader, A. Shapiro and C. Voigt.
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| Extent |
34.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Vrije Universiteit Brussel
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| Series | |
| Date Available |
2025-12-10
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0450968
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Researcher
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International