Defensa tesi doctoral Neus Fuster i Corral 28/07/2021, 11.00, sala graus «Manuel Valdivia»/en línia

Jul ’21
28
11:00

El proper dijous 28 d’octubre de 2021, a les 11.00, a la sala de graus «Manuel Valdivia» de la Facultat de Ciències Matemàtiques de la Universitat de València (carrer del Doctor Moliner, 50, Burjassot), es procedirà a la defensa de la tesi doctoral de Neus Fuster i Corral, dirigida per Adolfo Ballester Bolinches i Ramon Esteban Romero i amb títol

«Left braces and the Yang-Baxter equation».

Esteu convidats a assistir a aquest acte, que podreu seguir presencialment o connectant-vos a https://links.uv.es/permut/tesiNeusFuster.

Paper «The Structure Group and the Permutation Group of a Set-Theoretic Solution of the Quantum Yang–Baxter Equation» published in Mediterr. J. Math.

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

A. Ballester-Bolinches, R. Esteban-Romero, N. Fuster-Corral, H. Meng.
The Structure Group and the Permutation Group of a Set-Theoretic Solution of the Quantum Yang–Baxter Equation.
Mediterr. J. Math, 18: Article number 145, 2021.

doi: 10.1007/s00009-021-01793-7

Abstract:

We describe the left brace structure of the structure group and the permutation group associated with an involutive, non-degenerate set-theoretic solution of the quantum Yang–Baxter equation using the Cayley graph of its permutation group with respect to its natural generating system. We use our descriptions of the additions in both braces to obtain new properties of the structure and the permutation groups and to recover some known properties of these groups in a more transparent way.

2020 Mathematics Subject Classification: 16T25, 05C25, 20F05, 20F65

Keywords: left brace, Yang-Baxter equation, Cayley graph, structure group.

Paper «On finite involutive Yang-Baxter groups» published in Proc. Amer. Math. Soc.

The following paper has been published:
El siguiente artículo ha sido publicado:
El següent article ha sigut publicat:

H. Meng, A. Ballester-Bolinches, R. Esteban-Romero, and N. Fuster-Corral.
On finite involutive Yang-Baxter groups.
Proc. Amer. Math. Soc., 149(2):793–804, 2021.

doi:10.1090/proc/15283

Abstract

A group G is said to be an involutive Yang-Baxter group, or simply an IYB-group, if it is isomorphic to the permutation group of an involutive, nondegenerate set-theoretic solution of the Yang-Baxter equation. We give new sufficient conditions for a group that can be factorised as a product of two IYB-groups to be an IYB-group. Some earlier results are direct consequences of our main theorem.

2020 Mathematics Subject Classification: Primary 81R50; Secondary 20F29, 20B35, 20F16, 20C05, 16S34, 16T25

Keywords: Finite left brace, Yang-Baxter equation, involutive nondegenerate solutions, involutive Yang-Baxter group