Hopf bimodules are modules over a diagonal crossed product algebra

被引:6
|
作者
Panaite, F [1 ]
机构
[1] Romanian Acad, Inst Math, RO-70700 Bucharest, Romania
关键词
D O I
10.1081/AGB-120005835
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
If H is a finite dimensional Hopf algebra, C. Cibils and M. Rosso found an algebra X having the property that Hopf bimodules over H* coincide with left X-modules. We find two other algebras, Y and Z, having the same property; namely, Y is-the two-sided crossed product H*#(Hcircle timesH(op))#H*(op) and Z is the diagonal crossed product (H*circle timesH*(op)) >< (Hcircle timesH(op)) (both concepts are. due to F. Hausser and F. Nill). We also find explicit isomorphisms between the algebras X, Y, Z.
引用
收藏
页码:4049 / 4058
页数:10
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