Bosonization for dual quasi-bialgebras and preantipode

JOURNAL OF ALGEBRA

卷:390

Article

Ardizzoni, Alessandro¹  Pavarin, Alice² 

[1] Univ Turin, Dept Math G Peano, I-10123 Turin, Italy

[2] Univ Padua, Dept Math, I-35121 Padua, Italy

关键词: Dual quasi-bialgebras;    Preantipode;    Yetter-Drinfeld modules;    Bosonization;    Projections;   

DOI  :  10.1016/j.jalgebra.2013.05.014

来源: Elsevier

【 摘 要 】

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 gr A associated to a dual quasi-bialgebra A with the dual Chevalley property (e.g. A is pointed). (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free