2011/11/18 by Ardizzoni, Alessandro, Pavarin, Alice · 1 citation
#16S40 #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1111.4325
In this paper, we associate a dual quasi-bialgebra, called bosonization, to every dual quasi-bialgebra H and every bialgebra R in the category of Yetter-Drinfeld modules over H. Then, using the fundamental theorem, we characterize as bosonizations the dual quasi-bialgebras with a projection onto a dual quasi-bialgebra with a preantipode. As an application we investigate the structure of the graded coalgebra grA associated to a dual quasi-bialgebra A with the dual Chevalley property (e.g. A is pointed).