Monomial Hopf algebras over fields of positive characteristic

doi:10.1007/s11425-006-0320-5

CSpace

	Monomial Hopf algebras over fields of positive characteristic
	Liu, GX ; Ye, Y
	2006-03-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	49 期号:3 页码:320-329
摘要	In this paper, we study the structures of monomial Hopf algebras over a field of positive characteristic A necessary and sufficient condition for the monomial coalgebra C-d(n) to admit Hopf structures is given here, and if it is the case, all graded Hopf structures on C-d(n) are completely classified. Moreover, we construct a Hopf algebras filtration on C-d(n) which will help us to discuss a conjecture posed by Andruskiewitsch and Schneider. Finally combined with a theorem by Montgomery, we give the structure theorem for all monomial Hopf algebras.
关键词	monomial coalgebra Gaussian binomial coefficient monomial Hopf algebra
DOI	10.1007/s11425-006-0320-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000236874200003
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3297
专题	中国科学院数学与系统科学研究院
通讯作者	Ye, Y
作者单位	1.Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China 2.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, GX,Ye, Y. Monomial Hopf algebras over fields of positive characteristic[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2006,49(3):320-329.
APA	Liu, GX,&Ye, Y.(2006).Monomial Hopf algebras over fields of positive characteristic.SCIENCE IN CHINA SERIES A-MATHEMATICS,49(3),320-329.
MLA	Liu, GX,et al."Monomial Hopf algebras over fields of positive characteristic".SCIENCE IN CHINA SERIES A-MATHEMATICS 49.3(2006):320-329.