In this paper, we establish a structure theorem for connected graded Hopf algebras over a field of characteristic 0 by claiming the existence of a family of homogeneous generators and a total order on the index set that satisfy some desirable conditions. The approach to the structure theorem is...
On the structure of graded λ -Hopf algebras Let G be an abelian group, B the G-graded λ-Hopf algebra with λ being a bicharacter on G. By introducing some new twisted algebras (coalgebras), we inves... SP Zhang - 《Acta Mathematica Sinica》 被引量: 19发表: 2009年 Dieudonné Modul...
Connected (graded) Hopf algebrasdoi:10.1090/TRAN/7686Ken BrownPaul GilmartinJames J. ZhangAmerican Mathematical Society (AMS)
Hopf algebrasLie algebrasConnectedCoradically gradedCocommutativeAbstract Let H be a finite-dimensional connected Hopf algebra over an algebraically closed field k of characteristic p > 0 . We provide the algebra structure of the associated graded Hopf algebra gr聽H. Then, we study the case when ...
We show that if A is a graded connected Hopf algebra over a field of characteristic 0, such that all homogeneous elements of strictly positive degree are nilpotent, then A is commutative and cocommutative. Hence A is an exterior algebra over the primitive elements....
Extension theory for connected Hopf algebras 来自 Elsevier 喜欢 0 阅读量: 46 作者: WM Singer 摘要: 0.~ TROIXCTIOS suppose is a diagram of graded connected Hopf algebras over a fixed ground ring K. We call (0.1) an extension of B by A if C is isomorphic to A@ I? simultancously...