弱Hopf,weak Hopf algebra,在线英语词典,英文翻译,专业英语

1) weak Hopf algebra

弱Hopf

Radford s biproduct to weak Hopf algebra is generalized.

将Radford的双积推广到弱Hopf代数上 ,并得到弱双代数和弱Hopf代数实现的条件。

2) weak Hopf algebra

弱Hopf代数

The crossproduct over weak Hopf algebras ;

弱Hopf代数上的双重交叉积

Two-parameter weak Hopf algebraω_(r,s)~d(sl_n)is obtained by weakening the set of group-like elements of two-parameter quan- tum group U_(r.

利用弱化双参数量子群U_(r,s)~d(sl_n)的类群元集的方法,给出双参数弱Hopf代数ω_(r,s)~d(sl_n)的构造,它是单参数弱Hopf代数ω_q~d(sl_n)的推广。

Let H be a weak Hopf algebra and A be an H-module algebra with its invariant subalgebra AH.

设H是弱Hopf代数,A是H-模代数,AH是其不变子代数。

3) weak Hopf algebras

弱Hopf代数

the article discuss the relations between A #H 、 A and A H, thus generalize the according results in the weak Hopf algebras.

H是域k上的有限维弱Hopf代数,A是弱H-模代数。

In this paper,the twisted coproducts to weak Hopf algebras is generated.

本文对交叉余积的特例—扭余积Cα(H)进行了讨论,得到了当H是弱Hopf代数,扭余积Cα(H)是弱双代数的充要条件,并进一步给出了弱双代数Cα(H)是弱Hopf代数的充分条件。

This paper mainly gives the Maschke theorem for two-sided weak smash products, and the fundamental theorem of weak Hopf quantum Yang-Baxter modules over weak Hopf algebras, which generalize some results of [1, 8,12].

本文主要研究了弱Hopf代数上双边弱smash积的Maschke定理和弱Hopf量子Yang-Baxter模结构定理，从而推广了文[1]、[8]、[12]的相应结果。

4) weak Hopf module

弱Hopf模

5) weak Hopf bimodule

弱Hopf双模

Using the equivalent between the(braided)monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebras,we get the Long module category is a braided tensor subcategory of a Yetter-Drinfel d module category,and then generalize the result of Oeckl(2000).

利用了弱Hopf代数上的弱Hopf双模的(辫子)张量范畴与扭曲弱Hopf代数上的弱Hopf双模的(辫子)张量范畴等价方法,得到Long模范畴是Yetter-Drinfel’d模范畴的辫子张量子范畴。

6) relative weak Hopf module

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1) weak Hopf algebra 弱Hopf 1. Radford s biproduct to weak Hopf algebra is generalized. 将Radford的双积推广到弱Hopf代数上 ,并得到弱双代数和弱Hopf代数实现的条件。 2) weak Hopf algebra 弱Hopf代数 1. The crossproduct over weak Hopf algebras ; 弱Hopf代数上的双重交叉积 2. Two-parameter weak Hopf algebraω_(r,s)~d(sl_n)is obtained by weakening the set of group-like elements of two-parameter quan- tum group U_(r. 利用弱化双参数量子群U_(r,s)~d(sl_n)的类群元集的方法,给出双参数弱Hopf代数ω_(r,s)~d(sl_n)的构造,它是单参数弱Hopf代数ω_q~d(sl_n)的推广。 3. Let H be a weak Hopf algebra and A be an H-module algebra with its invariant subalgebra AH. 设H是弱Hopf代数,A是H-模代数,AH是其不变子代数。 3) weak Hopf algebras 弱Hopf代数 1. the article discuss the relations between A #H 、 A and A H, thus generalize the according results in the weak Hopf algebras. H是域k上的有限维弱Hopf代数,A是弱H-模代数。 2. In this paper,the twisted coproducts to weak Hopf algebras is generated. 本文对交叉余积的特例—扭余积Cα(H)进行了讨论,得到了当H是弱Hopf代数,扭余积Cα(H)是弱双代数的充要条件,并进一步给出了弱双代数Cα(H)是弱Hopf代数的充分条件。 3. This paper mainly gives the Maschke theorem for two-sided weak smash products, and the fundamental theorem of weak Hopf quantum Yang-Baxter modules over weak Hopf algebras, which generalize some results of [1, 8,12]. 本文主要研究了弱Hopf代数上双边弱smash积的Maschke定理和弱Hopf量子Yang-Baxter模结构定理，从而推广了文[1]、[8]、[12]的相应结果。 4) weak Hopf module 弱Hopf模 5) weak Hopf bimodule 弱Hopf双模 1. Using the equivalent between the(braided)monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebras,we get the Long module category is a braided tensor subcategory of a Yetter-Drinfel d module category,and then generalize the result of Oeckl(2000). 利用了弱Hopf代数上的弱Hopf双模的(辫子)张量范畴与扭曲弱Hopf代数上的弱Hopf双模的(辫子)张量范畴等价方法,得到Long模范畴是Yetter-Drinfel’d模范畴的辫子张量子范畴。 6) relative weak Hopf module 相关弱Hopf模 1. It generalizes the theories of Yetter-Drinfeld modules on Hopf algebras, and associates the weak Doi-Hopf modules , quantum Yetter-Drinfeld modules with relative weak Hopf modules. 它推广了Hopf代数上Yetter-Drinfeld模的一些理论,并给出了弱Doi-Hopf模,量子Yetter-Drinfeld模与相关弱Hopf模三者之间的关系。参考词条螺旋管阵稻水蝇补充资料：弱弱联合弱弱联合是指两个总体实力都不强但都拥有自己独特的某方面优势的企业之间进行联合，以形成较强的实力。弱弱联合，弱企业之间优势互补，可以形成整体实力变强的效应。说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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