Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation

CSpace

	Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation
	Li, F ; Duplij, S
	2002
发表期刊	COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN	0010-3616
卷号	225 期号:1 页码:191-217
摘要	We investigate a generalization of Hopf algebra sl(q) (2) by weakening the invertibility of the generator K, i.e. exchanging its invertibility K K(-1) = 1 to the regularity K K K = K. This leads to a weak Hopf algebra omegasl(q) (2) and a J-weak Hopf algebra nusl(q) (2) which are studied in detail. It is shown that the monoids of group-like elements of omegasl(q) (2) and nusl(q) (2) are regular monoids, which supports the general conjunture on the connection betweek weak Hopf algebras and regular monoids. Moreover, from omegasl(q) (2) a quasi-braided weak Hopf algebra (U) over bar (omega)(q) is constructed and it is shown that the corresponding quasi-R-matrix is regular R(omega)(R) over cap (omega)R(omega) = R(omega).
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000173535200008
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16945
专题	中国科学院数学与系统科学研究院
通讯作者	Li, F
作者单位	1.Zhejiang Univ, Dept Math, Hangzhou 310028, Zhejiang, Peoples R China 2.Kharkov Natl Univ, UA-61077 Kharkov, Ukraine 3.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, F,Duplij, S. Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS,2002,225(1):191-217.
APA	Li, F,&Duplij, S.(2002).Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation.COMMUNICATIONS IN MATHEMATICAL PHYSICS,225(1),191-217.
MLA	Li, F,et al."Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation".COMMUNICATIONS IN MATHEMATICAL PHYSICS 225.1(2002):191-217.