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陈惠香 《数学年刊A辑(中文版)》1998,(3)
设Hopf代数H余作用于代数A.本文讨论代数A,余不变子代数AcoH及Smash积A#H的相互关系.同时将研究Hopf模,全积分及除环的HopfGalois扩张. 相似文献
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相关Hopf模的对偶 总被引:7,自引:2,他引:5
本文的目的就是给出相关Hopf模的对偶性质.在第一部分,证明了相关Hopf模的对偶模仍是相关Hopf模.特别地,Hopf模的对偶仍是Hopf模.在第二、第三两部分,分别给出相关Hopf模的对偶相关Hopf模的基本结构定理及Maschke定理. 相似文献
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设H是域k上任意的Hopf代数。本文首先讨论了右H_扩张A/A ̄(coH)与Hopf模范畴,给出了A/A ̄(coH)为右H-Galois扩张的充分必要条件和Hopf模范畴满足结构定理的若干等价条件.然后我们讨论了不可约作用与除环的Galois扩张. 相似文献
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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
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赵士银 《纯粹数学与应用数学》2011,27(1):45-50
设H为有限型Hopfπ-代数,研究Hopfπ-代数H上的Hopfπ-模与Hopf π-余代数H *上的Hopfπ-余模之间的对偶关系,得出了Hopfπ-子模与Hopfπ-子 余模之间的充分必要条件,推广了Hopf代数中的相关结论. 相似文献
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Hopf余模代数Smash积的理想陈惠香(扬州大学师范学院,扬州225002)本文恒设H是域k上Hopf代数,S为H的antipode,H“为H的对偶代数。如果S是双射,则用工表示S的逆映射.有关记号参阅文of].设A是右H一余模代数.则自然嵌人A①... 相似文献
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《Quaestiones Mathematicae》2013,36(1):101-113
Abstract Yesl Any equation of conservation of the form ?x{P(?xφ, ?tφ) = ?t{Q(?xφ, ?tφ) is shown to admit an infinite-dimensional, Abellan group of symmetries that is not a prolongation symmetry group. Explicit equations are given for the determination of the generators of the Lle algebra of this Abellan symmetry group, and for the generators of Its underlying Poisson algebra. 相似文献
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The purpose of this paper is to present some dual properties of dual comodule.It turns out that dual comodule has universal property (cf.Theorem 2). Since (()~*, ()~O) isan adjoint pair (cf.Theorem 3), some nice properties of functor()~O are obtained. FinallyTheoram 4 provides that the cotensor product is the dual of the tensor product by (M_A 相似文献
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本文研究了余三角弱Hopfπ-余代数H的左弱π-H-余模代数.通过构造左弱π-H-余模代数的导出π-σ-李代数,得到了弱Hopf π-余代数Kegel定理,推广了文献[4]的结果. 相似文献
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《代数通讯》2013,41(5):2553-2567
ABSTRACT Let H be a Hopf algebra over a field k, and A a commutative right H-comodule algebra. This paper is concerned with homological algebra for Hopf modules. We investigate the projectivity, injectivity, and minimal injective resolutions of relative Hopf modules by using the functor HOM. 相似文献
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主要证明了相关Yetter-Drinfel'd Hopf代数上的相关Hopf模结构定理,不仅推广了Yetter-Drinfel'd Hopf代数上的Hopf模结构定理,而且推广了相关Hopf模结构定理.同时,给出相关Yetter-Drinfel'd Hopf代数上的Maschke定理. 相似文献
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Liang-yun Zhang 《代数通讯》2013,41(1):254-260
This article mainly gives the structure theorem of weak comodule algebras, that is, assume that H is a weak Hopf algebra, and B a weak right H-comodule algebra, if there exists a morphism φ: H → B of a weak right H-comodule algebras, then there exists an algebra isomorphism: B ? B coH #H, where B coH denotes the coinvariant subalgebra of B, and B coH #H denotes the weak smash product. 相似文献
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Majid in [14] and Bespalov in [2] obtain a braided interpretation of Radford’s theorem about Hopf algebras with projection ([19]). In this paper we introduce the notion of H-cleft comodule (module) algebras (coalgebras) for a Hopf algebra H in a braided monoidal category, and we characterize it as crossed products (coproducts). This allows us give very short proofs for know results in our context, and to introduce others stated for the category of R-modules about of Hopf algebra extensions. In particular we give a proof of the result by Bespalov [2] for a braided monoidal category with co(equalizers). 相似文献
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本文引入弱Hopf量子Yang-Baxter模概念.利用弱Hopf模基本定理的方法,获得了弱Hopf量子Yang-Baxter模基本定理,进一步还得到了相关Hopf模基本定理. 相似文献