Results 11 to 20 of about 43,972 (190)

Garside groups and Yang-Baxter equation [PDF]

Communications in Algebra, 2010
We establish a one-to-one correspondence between a class of Garside groups admitting a certain presentation and the structure groups of non-degenerate, involutive and braided set-theoretical solutions of the quantum Yang-Baxter equation.
Chouraqui, Fabienne
core   +4 more sources

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
doaj   +3 more sources

Schur Polynomials and the Yang-Baxter equation [PDF]

Communications in Mathematical Physics, 2009
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
A.G. Izergin, A.M. Hamel, A.M. Hamel, A.N. Kirillov, B. Brubaker, B. Brubaker, B. Sutherland, Ben Brubaker, C. Fan, C. Fan, D.P. Robbins, Daniel Bump, E. Lieb, G. Kuperberg, M. Jimbo, M. Jimbo, N.V. Tsilevich, R.J. Baxter, S. Majid, S. Okada, Solomon Friedberg, T. Tokuyama, V.E. Korepin, W.H. Mills, Yu.G. Stroganov   +24 more
core   +9 more sources

Introduction to the Yang-Baxter Equation with Open Problems

Axioms, 2012
The Yang-Baxter equation first appeared in theoretical physics, in a paper by the Nobel laureate C. N. Yang, and in statistical mechanics, in R. J. Baxter’s work.
Florin Nichita
doaj   +3 more sources

An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

Axioms, 2017
The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem.
Tahsin Oner, Ibrahim Senturk, Gulsah Oner   +2 more
doaj   +3 more sources

Littlewood-Richardson Coefficients via Yang-Baxter Equation [PDF]

, 1999
The purpose of this paper is to present an interpretation for the decomposition of the tensor product of two or more irreducible representations of GL(N) in terms of a system of quantum particles. Our approach is based on a certain scattering matrix that
Gleizer, Oleg, Postnikov, Alexander
core   +5 more sources

Classical Yang-Baxter equation from supergravity [PDF]

Physical Review D, 2018
6 pages, double column; v2 Schwarzschild example improved, thereby demonstrating that Yang-Baxter deformations can be extended to non-coset ...
Bakhmatov I., Kelekci O., Ó Colgáin E., Sheikh-Jabbari M.   +3 more
openaire   +4 more sources

Reflection–transmission quantum Yang–Baxter equations [PDF]

Journal of Physics A: Mathematical and General, 2005
LaTex, 15 ...
Caudrelier, V., Mintchev, M., Ragoucy, E., Sorba, P.   +3 more
openaire   +4 more sources

Yang-Baxter Equations

, 2006
LaTeX2e, 22 pages, 16 figures (20 eps files)
Perk, Jacques H. H., Au-Yang, Helen
openaire   +3 more sources

Yang-Baxter Systems, Algebra Factorizations and Braided Categories

Axioms, 2013
The Yang-Baxter equation first appeared in a paper by the Nobel laureate, C.N. Yang, and in R.J. Baxter’s work. Later, Vladimir Drinfeld, Vaughan F. R. Jones and Edward Witten were awarded Fields Medals for their work related to the Yang-Baxter equation.
Florin F. Nichita
doaj   +1 more source