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

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 08期

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

页码：4049 / 4058

页数：10

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