KMS Of Academy of mathematics and systems sciences, CAS
Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation | |
Li, F; Duplij, S | |
2002 | |
Source Publication | COMMUNICATIONS IN MATHEMATICAL PHYSICS |
ISSN | 0010-3616 |
Volume | 225Issue:1Pages:191-217 |
Abstract | 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). |
Language | 英语 |
WOS Research Area | Physics |
WOS Subject | Physics, Mathematical |
WOS ID | WOS:000173535200008 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/16945 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | 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 |
Recommended Citation 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. |
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