征募 发表于 2025-3-21 18:40:07
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Deformation of Functions by Star Productformed functions are called .. In this note, we discuss, as a simple case, a star product of functions of one variable, and then, the product becomes commutative and associative. Several concrete examples are given together with their basic identities.pacifist 发表于 2025-3-22 15:26:36
Twisted Araki-Woods Algebras, the Yang–Baxter Equation, and Quantum Field Theoryubspaces. We discuss a new family of examples of that framework, coming from the set-theoretic Yang-Baxter equation, and explain the relevance of twisted Araki-Woods algebras in the construction of quantum field theoretic models.pacifist 发表于 2025-3-22 20:07:02
Skew Braces and the Braid Equation on Setsoduced by W. Rump and then generalised by L. Guarnieri and L. Vendramin. Further, we present a recently introduced way of deforming solutions acquired from skew braces. We analyse skew braces of size 4. We linearise the deformed solutions and observe that the Jordan matrix of deformation is differen雄伟 发表于 2025-3-22 22:32:28
Skew Braces: A Brief Surveykew braces have recently emerged as intriguing algebraic structures, and their link to the Yang–Baxter equation adds further depth and significance to their study. Throughout this article, we place particular emphasis on various problems and conjectures that arise within this field. These open quest蚊帐 发表于 2025-3-23 04:37:51
How Birefringence Arises from Nonlinear Electrodynamicstion principle is no longer satisfied. In the nonlinear electromagnetic theory, this is because light propagation is influenced by the electromagnetic background. We present a simple derivation of the two light cones (birefringence) that arise if the Lagrangian depends in nonlinear way on the electr客观 发表于 2025-3-23 09:20:54
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