On the antipode of a co-Frobenius (co)quasitriangular Hopf algebra
Margaret Beattie, Daniel Bulacu
TL;DR
This paper extends a known result about the antipode's fourth power to co-Frobenius (co)quasitriangular Hopf algebras, broadening understanding beyond finite-dimensional cases.
Contribution
It generalizes a key property of the antipode from finite-dimensional to co-Frobenius (co)quasitriangular Hopf algebras, filling a gap in the theory.
Findings
Extended the antipode's fourth power property to co-Frobenius case
Connected finite-dimensional results to broader classes of Hopf algebras
Provided new insights into the structure of co-Frobenius (co)quasitriangular Hopf algebras
Abstract
We extend to the co-Frobenius case a result of Drinfeld and Radford related to the fourth power of the antipode of a finite dimensional (co)quasitriangular Hopf algebra.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons