Crystals and noncommutative Schur functions
Duration: 45 mins 13 secs
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| Description: |
Christian Korff (Glasgow)
Friday 03 April 2009, 11:30-12:15 Geometric Aspects of Discrete and Ultra-discrete Integrable Systems |
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| Created: | 2011-03-10 11:05 | ||||||||
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| Collection: | Discrete Integrable Systems | ||||||||
| Publisher: | Isaac Newton Institute | ||||||||
| Copyright: | Korff, C | ||||||||
| Language: | eng (English) | ||||||||
| Credits: |
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| Abstract: | A seminar from the Geometric Aspects of Discrete and Ultra-discrete Integrable Systems conference in association with the Newton Institute programme: Discrete Integrable Systems
http://www.gla.ac.uk/departments/mathematics/research/isamp/events/gadudis/programme/ I will present a combinatorial construction of the fusion ring of csu(n)k-WZNW conformal field theory. The structure constants of this ring are known to be dimensions of moduli spaces of generalized 0-functions, the main result is that they can be expressed as matrix elements of Schur functions defined over a noncommutative alphabet. The letters in the alphabet are closely related to Kashiwara's crystal operators of the kth-symmetric tensor product of Uqcsu(n). |
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