Results 31 to 40 of about 16,880 (213)
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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All Solutions of the Yang–Baxter-Like Matrix Equation for Nilpotent Matrices of Index Two
Complexity, 2020 Let A be a nilpotent matrix of index two, and consider the Yang–Baxter-like matrix equation AXA=XAX. We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation.
Duanmei Zhou, Jiawen Ding
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Lax pairs for new ZN-symmetric coset σ-models and their Yang-Baxter deformations
Nuclear Physics B, 2022 Two-dimensional σ-models with ZN-symmetric homogeneous target spaces have been shown to be classically integrable when introducing WZ-terms in a particular way. This article continues the search for new models of this type now allowing some kinetic terms
David Osten
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Affine actions and the Yang–Baxter equation [PDF]
Advances in Operator Theory, 2018 22 pages ...
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Non-Associative Structures and Other Related Structures
Axioms, 2020 In January 2019, MDPI published a book titled Hopf Algebras, Quantum Groups and Yang–Baxter Equations, based on a successful special issue [...]
Florin F. Nichita
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A family of solutions of the Yang–Baxter equation
Journal of Algebra, 2014 11 ...
Bachiller, David, Cedó, Ferran
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The Yang–Baxter equations and differential identities [PDF]
Journal of Mathematical Physics, 1990 The solution of the Yang–Baxter equation for integrable systems is shown to be equivalent to the existence of a differential identity. Quantum integration formulas for the calculation of commutators of monodromy matrices are given. Based on the integration formulas and the systematic use of differential identities, the Yang–Baxter equations for the ...
Pu, Fu-Cho, Sattinger, D. H.
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Journal of High Energy Physics, 2018 The formal derivatives of the Yang-Baxter equation with respect to its spectral parameters, evaluated at some fixed point of these parameters, provide us with two systems of differential equations.
R. S. Vieira
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A New Approach to Braided T-Categories and Generalized Quantum Yang–Baxter Equations
Mathematics, 2022 We introduce and study a large class of coalgebras (possibly (non)coassociative) with group-algebraic structures Hopf (non)coassociative group-algebras.
Senlin Zhang, Shuanhong Wang
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Yang–Baxter invariance of the Nappi–Witten model
Nuclear Physics B, 2016 We study Yang–Baxter deformations of the Nappi–Witten model with a prescription invented by Delduc, Magro and Vicedo. The deformations are specified by skew-symmetric classical r-matrices satisfying (modified) classical Yang–Baxter equations.
Hideki Kyono, Kentaroh Yoshida
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