Results 131 to 140 of about 44,436 (212)
Groups and set theoretic solutions of the Yang-Baxter equation
, 2011 We discuss some recent results on the link between group theory and set theoretic involutive non-degenerate solutions of the Yang-Baxter equation.
Jespers, Eric
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Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation
, 2022 In this paper, first we introduce the notion of a post-Hopf algebra, which gives rise to a post-Lie algebra on the space of primitive elements and there is naturally a post-Hopf algebra structure on the universal enveloping algebra of a post-Lie algebra.
Li, Yunnan, Sheng, Yunhe, Tang, Rong
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Parameter-dependent associative Yang-Baxter equation and Poisson brackets
, 2014 We discuss associative analogues of classical Yang-Baxter equation meromorphically dependent on parameters. We discover that such equations enter in a description of a general class of parameter-dependent Poisson structures and double Lie and Poisson ...
V. Roubtsov, A. Odesskii, V. Sokolov
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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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On the Quantum Yang-Baxter Equation with Spectral Parameter, I
, 2008 In memory of Grace Lambe The quantum Yang–Baxter equation (QYBE) is related to the study of ...
Larry Lambe
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Solutions of the classical Yang-Baxter Equation And Lagrangian Subalgebras
, 2002 At an early stage, the Yang-Baxter equation (YBE) appeared in several dierent works in literature and sometimes ...
Iulia Pop, Pop, Iulia
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Twisting of Graded Quantum Groups and Solutions to the Quantum Yang-Baxter Equation. [PDF]
Transform GroupsHuang H +5 more
europepmc +1 more source
On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum. [PDF]
Entropy (Basel), 2023 Prosen T.
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NOTES OF THE YANG-BAXTER EQUATION
Matrix Science MathematicIn this work, we aim to characterize solutions of ABA = BAB, including identifying the necessary, and where possible sufficient, conditions under which distinct matrices A and B satisfy this relation. The approach is somewhat analogous to the study of AB = BA, i.e., determining when two distinct matrices commute.
openaire +1 more source