R-matrices and Hopf algebra quotients

2006/05/29 by Natale, Sonia · 1 citation
#16W30 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.math/0605731

Abstract

We study a natural construction of Hopf algebra quotients canonically associated to an R-matrix in a finite dimensional Hopf algebra. We apply this construction to show that a quasitriangular Hopf algebra whose dimension is odd and square-free is necessarily cocommutative.

Cited by

• Coquasitriangular structures on Hopf algebras constructed via abelian extensions

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