2006/04/08 by A. Ardizzoni, Alessandro Ardizzoni, Claudia Menini +6
Mathematics · Physics and Astronomy · #16S30 #16W30 #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Base (topology) #Bialgebra #Element (criminal law) #FOS: Mathematics #Field (mathematics) #Hopf algebra #Infinitesimal #K-Theory and Homology (math.KT) #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Quantum Algebra (math.QA) #Subspace topology #Type (biology) #math.KT #math.QA #msc:16S30 #msc:16W30
paper · pdf · doi:10.48550/arxiv.math/0604181
openalex publication_date 2006/04/08 · arxiv created 2008/04/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The paper is devoted to prove a version of Milnor-Moore Theorem for connected braided bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2, we prove that, for a given connected braided bialgebra A having a λ-cocommutative infinitesimal braiding for some regular element λ≠ 0 in the base field, then the infinitesimal braiding of A is of Hecke-type of mark λ and A is isomorphic as a braided bialgebra to the symmetric algebra of the braided subspace of its primitive elements.