A twisted Hopf algebra of finite topological quandles

Year 2025, Volume: 37 Issue: 37, 233 - 248, 14.01.2025

Mohamed Ayadi Dominique Manchon

https://doi.org/10.24330/ieja.1526220

Abstract

This paper describes some algebraic properties of the species of finite topological quandles. We construct two twisted bialgebra structures on this species, one of the first kind and one of the second kind. The obstruction for the structure to match the double twisted bialgebra axioms is explicitly described.

Keywords

Quandle, finite topological space, species, bialgebra

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