A Poincare-Birkhoff-Witt theorem for Hopf algebras with central Hopf algebra coradical

2009/05/14 by Bogdan Ion, Ion, Bogdan
Mathematics · Physics and Astronomy · #14L15 #16W30 #16W70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0905.2335

openalex publication_date 2009/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that over fields of characteristic zero a Hopf algebra with central Hopf algebra coradical has a PBW basis as a module over the coradical.

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