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Schur Polynomials and the Yang-Baxter Equation     Yang-Baxter Equation  Schur Polynomials       font style='font-size:12px;'> 2015/7/6
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       font style='font-size:12px;'> 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...
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 ...
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...
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...
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...
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...

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