Cosemisimple Hopf algebras with antipode of arbitrary finite order
Julien Bichon
TL;DR
This paper demonstrates the existence of cosemisimple Hopf algebras with antipodes of any finite even order and explores their Schur indicators, expanding understanding of their algebraic properties.
Contribution
It establishes the existence of cosemisimple Hopf algebras with arbitrary finite even order antipodes and analyzes their Schur indicators, a novel contribution.
Findings
Existence of cosemisimple Hopf algebras with arbitrary finite even order antipodes
Analysis of Schur indicators for these Hopf algebras
Extension of known classifications of Hopf algebra properties
Abstract
We show that there exists cosemisimple Hopf algebras of arbitrary finite even order. We also discuss the Schur indicator for such Hopf algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons