Gaudin functions of any order
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| Description: |
Lascoux, A (CNRS)
Tuesday 22 April 2008, 14:00-15:00 Statistical-Mechanics and Quantum-Field Theory Methods in Combinatorial Enumeration |
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| Created: | 2008-05-02 07:30 | ||
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| Collection: | Combinatorics and Statistical Mechanics | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Lascoux, A | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | The Gaudin-Izergin-Korepin determinant plays a fundamental role in the 6-vertex model. We consider a more general determinant det( 1/(x-y)(x-ty)..(x-t^r y)), where x,y are indeterminates in two sets of the same cardinality and r is a fixed integer (the Izergin-Korepin determinant is the case r=1). We give specialization properties, as well as a link with Macdonald polynomials.
Related Links * http://arXiv:0709.1635 - detailed version |
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