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As an application, we show that with boundary conditions corresponding to integer partitions , the six-vertex model is exactly solvable and equal to a Schur
polynomial s times a deformation of the ...
Factorial Schur Functions and the Yang-Baxter Equation
Yang-Baxter Equation Factorial Schur Functions
2015/7/6
Factorial Schur functions are generalizations of Schur functions that have, in
addition to the usual variables, a second family of \shift" parameters. We show that a
factorial Schur function times a...
Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
Elliptic gamma-function multi-spin solutions the Yang-Baxter equation
2011/7/27
Abstract: We present a generalization of the master solution to the quantum Yang-Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking ...
Semi-stable vector bundles on elliptic curves and the associative Yang-Baxter equation
elliptic curves the associative Yang-Baxter equation
2010/11/23
In this paper we study unitary solutions of the associative Yang--Baxter equation (AYBE) with spectral parameters. We show that to each point $\tau$ from the upper half-plane and an invertible $n \tim...
Folding of set-theoretical solutions of the Yang-Baxter equation
set-theoretical solution of the quantum Yang-Baxter equation parabolic subgroups of Garside groups folding
2010/12/8
We establish a correspondence between the invariant subsets of a non-degenerate symmetric set-theoretical solution of the quantum Yang-Baxter equation and the parabolic subgroups of its structure grou...
Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
Yang-Baxter equation six-vertex model dihedral group algebras
2010/4/6
The representation theory of the Drinfeld doubles of dihedral groups is used to solve the Yang-Baxter equation. Use of the 2-dimensional representations recovers the six-vertex model solution. Solutio...
On Set-Theoretical Solutions to Quantum Yang-Baxter Equation
quantum Yang-Baxter equation
set-theoretical solution metahomomorphism
2007/8/15
2003Vol.39No.2pp.141-143DOI:
On Set-Theoretical Solutions to Quantum Yang-Baxter Equation
GU Pei1 and BAI Cheng-Ming2,3
1 Department of Mathematics, Nankai University, T...