Decomposition theorems for involutive solutions to the Yang-Baxter equation
S. Ramírez
2021VUBIR (Vrije Universiteit Brussel)15 citations
Abstract
Motivated by the proof of Rump of a conjecture of Gateva-Ivanova on the decomposability of square-free solutions to the Yang-Baxter equation, we present several other decomposability theorems based on the cycle structure of a certain permutation associated with the solution.
Topics & Concepts
MathematicsConjecturePermutation (music)DecompositionPure mathematicsCombinatoricsAlgebra over a fieldPhysicsEcologyAcousticsBiologyAlgebraic structures and combinatorial modelsAdvanced Topics in AlgebraFinite Group Theory Research