Hopf共括号,编织方程和交叉

IF 0.2 4区 数学 Q4 MATHEMATICS Mathematical Reports Pub Date : 2023-01-01 DOI:10.59277/mrar.2023.25.75.3.481
HUIHUI ZHENG, FANGSHU LI, TIANSHUI MA
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引用次数: 0

摘要

本文主要给出Hopf共撑的一些等价刻画,证明了Hopf共撑的满子范畴HCB(A)等价于双射1-环的满子范畴C(A),并证明了满子范畴HCB(A)等价于Hopf匹配对的M(A)范畴。此外,我们在多项式Hopf代数、长配对Hopf代数和有限维Hopf代数的Drinfel双精度上构造了许多Hopf共支撑。不知道对不对,如果a或H是Hopf协括号,我们也给出了一个给定的叉乘a的充要条件
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HOPF CO-BRACE, BRAID EQUATION AND BICROSSED
In this paper, we mainly give some equivalent characterisations of Hopf cobraces, show that the full subcategory HCB(A) of Hopf co-braces is equivalent to the full subcategory C(A) of bijective 1-cocycles, and prove that the full subcategory HCB(A) is also equivalent to the category M(A) of Hopf matched pairs. Moreover, we construct many Hopf co-braces on polynomial Hopf algebras, Long copaired Hopf algebras and Drinfel’d doubles of finite dimensional Hopf algebras. And we also give a sufficient and necessary condition for a given bicrossed coproduct A ▷◁ H to be a Hopf co-brace if A or H is a Hopf co-brace
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来源期刊
Mathematical Reports
Mathematical Reports MATHEMATICS-
CiteScore
0.20
自引率
0.00%
发文量
1
审稿时长
>12 weeks
期刊介绍: The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.
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