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Fusion rings from quantum groups and DAHA actions
Multi angle
Authors : Stroppel, Catharina (Author of the conference)
CIRM (Publisher )
17B37 - Quantum groups and related deformations
20G42 - Quantum groups and their representations
CIRM (Publisher )
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Abstract :
In this talk I will give a short overview about fusion rings arising from quantum groups at odd and even roots of unities. These are Grothendieck rings of certain semisimple tensor categories. Then I will study these rings in more detail. The main focus of the talk will be an expectation by Cherednik that there is a certain DAHA action on these rings which can be used to describe the multiplication and semisimplicity of these rings. As a result we present a theorem which makes Cherednik's expectation rigorous.
MSC Codes : 17B37 - Quantum groups and related deformations
20G42 - Quantum groups and their representations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 19/04/2019 Conference Date : 02/04/2019 Subseries : Research talks arXiv category : Group Theory ; Quantum Algebra ; Mathematical Physics Mathematical Area(s) : Algebra ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:59:49 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-02_Stroppel.mp4 
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Information on the Event
Event Title : Symplectic representation theory / Théorie symplectique des représentationsEvent Organizers : Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng Dates : 01/04/2019 - 05/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1956.html
Citation Data
DOI : 10.24350/CIRM.V.19511803Cite this video as: Stroppel, Catharina (2019). Fusion rings from quantum groups and DAHA actions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19511803 URI : http://dx.doi.org/10.24350/CIRM.V.19511803 |
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Bibliography
- Andersen, H.H., & Stroppel, C. (2014). Fusion rings for quantum groups. Algebras and Representation Theory, 17(6), 1869-1888 - https://doi.org/10.1007/s10468-014-9479-6
