To every dual quasi-bialgebra H and every bialgebra R in the category of Yetter-Drinfeld modules over H, one can associate a dual quasi-bialgebra, called bosonization. In this paper, 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).

Bosonization for Dual Quasi-Bialgebras and Preantipode

ARDIZZONI, Alessandro;
2013-01-01

Abstract

To every dual quasi-bialgebra H and every bialgebra R in the category of Yetter-Drinfeld modules over H, one can associate a dual quasi-bialgebra, called bosonization. In this paper, 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).
2013
390
126
159
http://arxiv.org/pdf/1111.4325.pdf
Projections; Bosonizations; Yetter-Drinfeld modules; preantipode; Dual quasi-bialgebras
A. ARDIZZONI; A. PAVARIN
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/135159
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