Results 51 to 60 of about 297 (183)
An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
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Local Quasitriangular Hopf Algebras
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite
Shouchuan Zhang +2 more
doaj
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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On some integral properties of dimensions in Isaacs fusion categories
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
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EPiC Series in Computing, 2018 Classically, Hopf algebras are defined on the basis of modules over commutative rings. The present study seeks to extend the Hopf algebra formalism to a more general universal-algebraic setting, entropic varieties, including (pointed) sets, barycentric algebras, semilattices, and commutative monoids.
Anna B. Romanowska, Jonathan D. H. Smith
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Star-products for Lie-algebraic noncommutative Minkowski space-times
Journal of High Energy PhysicsPoisson structures of the Poincaré group can be linked to deformations of the Minkowski space-time, classified some time ago by Zakrewski. Based on this classification, various quantum Minkowski space-times with coordinates Lie algebras and specific ...
Valentine Maris +2 more
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A note on the Zariski lemma for Hopf algebras
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004 The formulation of the lemma of Zariski is given for coactions of a class of Hopf algebras of the additive group on algebras. Known formulations and consequences of the lemma of Zariski for derivations and differentiations are revised.
Utano, R, Restuccia, G
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Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras
Computation, 2022 Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas +2 more
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Engineering Reports, Volume 8, Issue 6, June 2026.The study introduces a model‐free data‐driven control strategy combining sliding mode control with a projection recurrent neural network to regulate HIV dynamics. The method eliminates dependence on mathematical models, ensures constrained optimal drug dosing, and robustly drives HIV states to a healthy equilibrium despite uncertainty. ABSTRACT In this
Ashkan Zarghami +2 more
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Bialgebra cohomology and exact sequences
Comptes Rendus. MathématiqueWe show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of
Bichon, Julien
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