EQUIVALENT CROSSED PRODUCTS AND CROSS PRODUCT BIALGEBRAS

被引:3
作者
Panaite, Florin [1 ]
机构
[1] Acad Romana, Inst Math, RO-014700 Bucharest, Romania
关键词
Crossed product; Cross product bialgebra; Invariance under twisting; TWISTED TENSOR-PRODUCTS; HOPF-ALGEBRAS;
D O I
10.1080/00927872.2012.751538
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In a previous article we proved a result of the type invariance under twisting for Brzeziski's crossed products. In this article we prove a converse of this result, obtaining thus a characterization of what we call equivalent crossed products. As an application, we characterize cross product bialgebras (in the sense of Bespalov and Drabant) that are equivalent (in a certain sense) to a given cross product bialgebra in which one of the factors is a bialgebra and whose coalgebra structure is a tensor product coalgebra.
引用
收藏
页码:1937 / 1952
页数:16
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