2001/10/19 by D. Bulacu, Daniel Bulacu, Bulacu, D. +2
Mathematics · Physics and Astronomy · #16W30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Quantum many-body systems #Rings and Algebras (math.RA) #math.QA #math.RA #msc:16W30
paper · pdf · doi:10.48550/arxiv.math/0110216
15 pages
arxiv created 2001/10/19 · openalex publication_date 2001/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let D(H) be the quantum double associated to a finite dimensional quasi-Hopf algebra H. In this note, we first generalize a result of Majid, stating that a finite dimensional Hopf algebra H is quasitriangular if and only if there is a projection of the quantum double D(H) onto H covering the natural inclusion.We then prove that the quantum double of a finite dimensional quasitriangular quasi-Hopf algebra is a biproduct.