Geodesic
Factorizable ribbon quantum groups in logarithmic conformal field
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 3, pp. 510-535

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We review the properties of quantum groups occurring as the Kazhdan–Lusztig dual to logarithmic conformal field theory models. These quantum groups at even roots of unity are not quasitriangular but are factorizable and have a ribbon structure; the modular group representation on their center coincides with the representation on generalized characters of the chiral algebra in logarithmic conformal field models.
Keywords: quantum group, factorizable structure, ribbon structure, modular group, Grothendieck ring, logarithmic conformal field theory.
Mots-clés : Kazhdan–Lusztig correspondence 
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     author = {A. M. Semikhatov},
     title = {Factorizable ribbon quantum groups in logarithmic conformal field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {510--535},
     publisher = {mathdoc},
     volume = {154},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_3_a6/}
}
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A. M. Semikhatov. Factorizable ribbon quantum groups in logarithmic conformal field. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 3, pp. 510-535. http://geodesic.mathdoc.fr/item/TMF_2008_154_3_a6/