Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation
Li, F; Duplij, S
AbstractWe 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).
WOS Research AreaPhysics
WOS SubjectPhysics, Mathematical
WOS IDWOS:000173535200008
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Cited Times:34[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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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