排序方式: 共有38条查询结果,搜索用时 15 毫秒
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Teng Xia Ju 《数学学报(英文版)》2009,25(5):831-844
In this paper, we show that if H is a finite-dimensional Hopf algebra such that H and H^* are semisimple, then gl.dim(A#σH)=gl.dim(A), where a is a convolution invertible cocycle. We also discuss the relationship of global dimensions between the crossed product A^#σH and the algebra A, where A is coacted by H. Dually, we give a sufficient condition for a finite dimensional coalgebra C and a finite dimensional semisimple Hopf algebra H such that gl.dim(C α H)=gl.dim(C). 相似文献
2.
郑艳霞 《数学的实践与认识》2014,(9)
研究了超滤函子余代数范畴set_(F_u)的乘积和余积问题.首先构造了集合乘积上的超滤,讨论集合乘积上超滤的存在形式;接着利用超滤函子的性质给出了范畴set_(F_u)的有限乘积以及任意余积构造;最后证明了范畴set_(F_u)的终对象存在.改进了Gumm关于滤子函子的研究结果,深化了相关文献关于超滤函子余代数的研究. 相似文献
3.
研究Hopf π-余代数,给出π-smash积代数与π-smash余积余代数构成一个半的Hopf π-余代数(双积)的充分必要条件,并给出了Hopf π-余代数上的双积的若干性质. 相似文献
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由一种新方法给出了L-R smash余积的Mashke定理,并研究了L-R扭曲余积与左(右)扭曲偶的关系. 相似文献
6.
本文在学习[1,2]之后,首先给出了扭曲余积关于量子余交换的一个重要性质;在学习[3]之后,又证明了广义相关Hopf模的对偶模仍是广义相关Hopf模,从而推广了[3]中的相关结论. 相似文献
7.
Let(C, α) and(H, β) be Hom-bialgebras and ω : C H → H C a linear map.We introduce the concept of a Hom-ω-crossed coproduct(Cω σ H, γ) and we give necessary and sufficient conditions for the new object to be a Hom-Hopf algebra. 相似文献
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We present a general construction producing a unitary corepresentation of a multiplier Hopf algebra in itself and study RR-corepresentations of twisted tensor coproduct multiplier Hopf algebra. Then we investigate some properties of functors, integrals and morphisms related to the categories of the crossed modules and covariant modules over multiplier Hopf algebras. By doing so, we can apply our theory to the case of group-cograded multiplier Hopf algebras, in particular, the case of Hopf group-coalgebras. 相似文献
9.
In this paper we introduce the notion of (f,ω)-compatible pair (B,H), by which we construct a Hopf algebra in the category HHYD of Yetter-Drinfeld H-modules by twisting the comultiplication of B. We also study the property of ω-smash coproduct Hopf algebras Bω H. 相似文献
10.
Hopf代数的双交叉积 总被引:1,自引:0,他引:1
本文定义并详细讨论了交叉余积,考虑交叉积与交叉余积合起未成为双代数的问题,讨论了由内作用,内余作用构造的双交叉积.我们还用正合序列刻划了双交叉积. 相似文献