2010/11/22 by D. Bulacu, Daniel Bulacu, Bulacu, D. +2
Mathematics · Physics and Astronomy · #16T05 #18D10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Nonlinear Waves and Solitons #math.CT #msc:16T05 #msc:18D10
paper · pdf · doi:10.48550/arxiv.1011.4802
17 pages
arxiv created 2010/11/22 · openalex publication_date 2010/11/22 · arxiv updated 2010/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let B be a bialgebra, and A a left B-comodule algebra in a braided monoidal category \Cc, and assume that A is also a coalgebra, with a not-necessarily associative or unital left B-action. Then we can define a right A-action on the tensor product of two relative Hopf modules, and this defines a monoidal structure on the category of relative Hopf modules if and only if A is a bialgebra in the category of left Yetter-Drinfeld modules over B. Some examples are given.