On quasitriangular structures in Hopf algebras arising from exact group\n factorizations

2010/09/23 by Sonia Natale, Natale, Sonia · 1 citation
Mathematics · #16T05 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1009.4659

openalex publication_date 2010/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that bicrossed product Hopf algebras arising from exact\nfactorizations in almost simple finite groups, so in particular, in simple and\nsymmetric groups, admit no quasitriangular structure.\n

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• Coquasitriangular structures on Hopf algebras constructed via abelian extensions

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