Results 121 to 130 of about 44,436 (212)

The Yang-Baxter Equation for Integrable Systems

open access: yes, 1989
Pu, Fu-cho; Sattinger, D.H.. (1989). The Yang-Baxter Equation for Integrable Systems.
Sattinger, D.H., Pu, Fu-cho
core  

Kaleidoscope Yang-Baxter equation for Gaudin’s kaleidoscope models

open access: yesSciPost Physics Core
Recently, researchers have proposed the Asymmetric Bethe Ansatz method, a theoretical tool that extends the scope of Bethe Ansatz-solvable models by "breaking" partial mirror symmetry via the introduction of a fully reflecting boundary.
Wen-Jie Qiu, Xi-Wen Guan, Yi-Cong Yu
doaj   +1 more source

Solutions of the boundary Yang-Baxter equation for arbitrary spin

open access: yes, 2002
We use boundary quantum group symmetry to obtain recursion formulae which determine nondiagonal solutions of the boundary Yang–Baxter equation (reflection equation) of the XXZ type for any spin ...
Nepomechie, Rafael I   +3 more
core   +1 more source

Algebro-Geometric Aspects of the Classical Yang-Baxter Equation

open access: yes, 2015
In this thesis we consider algebro-geometric aspects of the Classical Yang-Baxter Equation and the Generalised Classical Yang-Baxter Equation. In chapter one we present a method to construct solutions of the Generalised Classical Yang-Baxter Equation ...
Galinat, Lennart
core  

Flag Varieties and the Yang-Baxter Equation

open access: yes, 1996
We investigate certain bases of Hecke algebras defined by means of the YangBaxter equation, which we call Yang-Baxter bases. These bases are essentially selfadjoint with respect to a canonical bilinear form.
Jean-yves Thibon   +2 more
core  

QR-type factorization, the Yang-Baxter equation, and an eigenvalue problem of control theory

open access: yes, 1989
It is shown that every solution to the Yang-Baxter equation corresponds with the O̧R-type algorithm. The structure of solutions of the Yang-Baxter equation is described and examples relevant to the algebraic Riccati equation are ...
Faibusovich, L.E.
core   +1 more source

Algebraic Structures Related to The Dynamical Yang-Baxter Equation

open access: yes, 2023
A solution to the set-theoretic Yang-Baxter Equation (YBE) is a braided set. Analogously, a solution to the quiver-theoretic Dynamical Yang-Baxter Equation (DYBE) will be a braided quiver.
FERRI, DAVIDE
core  

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