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La teoría del Yin y Yang
(2018)
Remarks By Li Yang
(2017-08-14)
A equação de Yang-Baxter para modelos de vértices com três estados
(Universidade Federal de São CarlosBRUFSCarPrograma de Pós-Graduação em Física - PPGF, 2011-03-02)
In this work we study the solutions of the Yang-Baxter equation associated to nineteen vertex models invariant by the parity-time symmetry from the perspective of algebraic geometry. We determine the form of the algebraic ...
Skew braces and the Yang-Baxter equation
(American Mathematical Society, 2017-09)
Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation. We generalize Rump's braces to the non-commutative setting and use this new structure to study not ...
Examinación de la ecuación matricial de Yang-Baxter
(Universidad Nacional de San Agustín de Arequipa, 2019)
Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2011-02-20)
The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem.
We studied there generalizations with respect to any comapact and Hausdor T-
space. We used in the proofs the Z2-index of Yang and the B-index. ...
Representations of Super Yang-Mills Algebras
(Springer, 2012-12)
We study in this article the representation theory of a family of super algebras, called the super Yang-Mills algebras, by exploiting the Kirillov orbit method à la Dixmier for nilpotent super Lie algebras. These super ...
Bianchi identities for an N=2, d=5 supersymmetric Yang-Mills theory on the group manifold
(Elsevier B.V., 1996-10-01)
The purpose of this note is the construction of a geometrical structure for a supersymmetric N = 2, d = 5 Yang-Mills theory on the group manifold. From a general hypothesis proposed for the curvatures of the theory, the ...
Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova
(Elsevier Science, 2016-05)
We develop a theory of extensions for involutive and nondegenerate solutions of the set-theoretic Yang-Baxter equation and use it to produce new families of solutions. As an application we construct an infinite family of ...