Results 11 to 20 of about 172 (130)
Hom-O-Operators and Hom-Yang-Baxter Equations
Advances in Mathematical Physics, 2015 In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
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GENERALIZED YANG-BAXTER EQUATION [PDF]
Modern Physics Letters A, 1993 A generalization of the Yang-Baxter equation is proposed. It enables us to construct integrable two-dimensional lattice models with commuting two-layer transfer matrices, while single-layer ones are not necessarily commutative. Explicit solutions to the generalized equations are found. They are related with Boltzmann weights of the sl (3) chiral Potts
Kashaev, R. M., Stroganov, Yu. G.
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Braces and the Yang–Baxter Equation [PDF]
Communications in Mathematical Physics, 2014 Several aspects of relations between braces and non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation are discussed and many consequences are derived. In particular, for each positive integer $n$ a finite square-free multipermutation solution of the Yang-Baxter equation with multipermutation level $n$ and an abelian involutive ...
Jespers, Eric, Cedo, F., Okninski, J.
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Skew braces and the Yang–Baxter equation [PDF]
Mathematics of Computation, 2016 Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation. We generalize Rump’s braces to the non-commutative setting and use this new structure to study not necessarily involutive non-degenerate set-theoretical solutions of the Yang–Baxter equation.
L. Guarnieri, Leandro Vendramin
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Schur Polynomials and The Yang-Baxter Equation [PDF]
Communications in Mathematical Physics, 2011 We show that within the six-vertex model there is a parametrized Yang-Baxter equation with nonabelian parameter group GL(2)xGL(1) at the center of the disordered regime. As an application we rederive deformations of the Weyl character formule of Tokuyama and of Hamel and King.
Brubaker, Benjamin Brock +2 more
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Stochasticization of Solutions to the Yang–Baxter Equation [PDF]
Annales Henri Poincaré, 2019 51 pages, 19 ...
Aggarwal, Amol +2 more
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Multipermutation Solutions of the Yang–Baxter Equation [PDF]
Communications in Mathematical Physics, 2011 Set-theoretic solutions of the Yang--Baxter equation form a meeting-ground of mathematical physics, algebra and combinatorics. Such a solution consists of a set $X$ and a function r:X x X --> X x X which satisfies the braid relation. We examine solutions here mainly from the point of view of finite permutation groups: a solution gives rise to a map ...
Gateva-Ivanova, Tatiana, Cameron, Peter
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Optical simulation of the Yang-Baxter equation [PDF]
Physical Review A, 2008 15 pages, 7 figures; introduction and second section are dramatically rewritten, in order to improve the physical ...
Hu, Shuang-Wei +3 more
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Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras
Advances in Mathematical Physics, 2018 It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom ...
Yuanyuan Chen, Liangyun Zhang
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A Yang–Baxter equation for metaplectic ice [PDF]
Communications in Number Theory and Physics, 2019 We will give new applications of quantum groups to the study of spherical Whittaker functions on the metaplectic $n$-fold cover of $GL(r,F)$, where $F$ is a nonarchimedean local field. Earlier Brubaker, Bump, Friedberg, Chinta and Gunnells had shown that these Whittaker functions can be identified with the partition functions of statistical mechanical ...
Brubaker, Ben +3 more
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