6533b86efe1ef96bd12cc87c

RESEARCH PRODUCT

Left braces and the quantum Yang-Baxter equation

H. MengAdolfo Ballester-bolinchesRamon Esteban Romero

subject

BracesYang–Baxter equationGeneral MathematicsMathematics::Rings and Algebras010102 general mathematicsP-nilpotent groupYang-Baxter equationContext (language use)01 natural sciencesBraceAlgebraNonlinear Sciences::Exactly Solvable and Integrable SystemsMathematics::Quantum Algebra0103 physical sciences010307 mathematical physics0101 mathematicsMATEMATICA APLICADAQuantumMatemàticaMathematics

description

[EN] Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang¿Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in the context of the Yang¿Baxter equation have been extensively investigated recently. The main aim of this paper is to introduce and study two finite brace theoretical properties associated with nilpotency, and to analyse their impact on the finite solutions of the Yang¿Baxter equation.

yearjournalcountryeditionlanguage
2019-01-01
10.1017/s0013091518000664https://doi.org/10.1017/s0013091518000664