Tensor Products and Support Varieties for Some Noncocommutative Hopf Algebras
Tensor Products and Support Varieties for Some Noncocommutative Hopf Algebras
复制标题
一些非共交换 Hopf 代数的张量积和支持簇
DOI：
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发表时间：
2016
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通讯作者：
S. Witherspoon
中科院分区：
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作者：
J. Plavnik;S. Witherspoon
我们探讨有限维Hopf代数模的投射性和张量积问题。我们构造了许多类的例子，其中非投射模的张量积是投射的，一个顺序的模的张量积是投射的，但在其他顺序不是。我们的例子是群代数的smash余积，其中一些具有由余圈扭曲的代数和余代数结构。我们应用支持簇理论作为工具，在我们的调查这些Hopf代数。
We explore questions of projectivity and tensor products of modules for finite dimensional Hopf algebras. We construct many classes of examples in which tensor powers of nonprojective modules are projective and tensor products of modules in one order are projective but in the other order are not. Our examples are smash coproducts with duals of group algebras, some having algebra and coalgebra structures twisted by cocycles. We apply support variety theory for these Hopf algebras as a tool in our investigations.