Results 111 to 120 of about 16,880 (213)
Series of the solutions to Yang–Baxter equations: Hecke type matrices and descendant R-, L-operators
Nuclear Physics B, 2018 We have constructed series of the spectral parameter dependent solutions to the Yang–Baxter equations defined on the tensor product of reducible representations with a symmetry of quantum (super)algebra.
Shahane A. Khachatryan
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Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures
For any algebra, two families of colored Yang-Baxter operators are constructed, thus producing solutions to the two-parameter quantum Yang-Baxter equation. An open problem about a system of functional equations is stated.
Parashar, Deepak, Nichita, Florin F.
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Axioms, 2012 We present an application of the program of groupoidification leading up to a sketch of a categorification of the Hecke algebroid—the category of permutation representations of a finite group.
Alexander E. Hoffnung
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From Yang-Baxter maps to integrable recurrences
, 2013 International audienceStarting from known solutions of the functional Yang-Baxter equations, we construct a series of nonautonomous integrable recurrences, “median graphs”, and give their explicit ...
Grammaticos, B. +4 more
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Higher Conjugations and the Yang–Baxter Equation
Journal of Algebra, 2002 In a previous paper [Commun. Algebra 29, No. 8, 3351-3363 (2001; Zbl 0999.16034)] the author constructed actions of the symmetric groups on tensor powers of commutative or cocommutative Hopf algebras. The current paper sets these actions in the wider context of representations of the braid group and solutions of the Yang-Baxter equation, a ...
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Introduction to the Yang-Baxter Equation with Open Problems [PDF]
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. Later, it turned out that this equation plays a crucial role in: quantum groups, knot theory, braided categories, analysis of integrable systems, quantum mechanics, non-commutative descent ...
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Discrete Integrable Equations over Finite Fields
Symmetry, Integrability and Geometry: Methods and Applications, 2012 Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV
Masataka Kanki +2 more
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SciPost PhysicsWe consider a class of spinless-fermion Lindblad equations that exhibit decoupled BBGKY hierarchies. In the cases where particle number is conserved, their late time behaviour is characterized by diffusive dynamics, leading to an infinite temperature ...
Patrik Penc, Fabian H. L. Essler
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Yang-Baxter equation and cryptography
, 2022 We find a method to construct iteratively from a non-degenerate involutive set-theoretic solution of the Yang-Baxter equation an infinite family of very large non-degenerate involutive set-theoretic solutions. In case the initial solution is irretractable, all the induced solutions are also irretractable. In case the initial solution is indecomposable,
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Mixed Bruhat Operators and Yang-Baxter Equations for Weyl Groups
, 1998 this paper, we introduce and study a family of operators which act in the span of a Weyl group W and provide a multi-parameter solution to the quantum Yang-Baxter equations of the corresponding type.
Sergey Fomin +2 more
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