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http://hdl.handle.net/1942/2450
Title: | Quasitriangular and ribbon quasi-Hopf algebras | Authors: | BULACU, Daniel NAUWELAERTS, Erna |
Issue Date: | 2003 | Publisher: | MARCEL DEKKER INC | Source: | COMMUNICATIONS IN ALGEBRA, 31(2). p. 657-672 | Abstract: | Following brinfeld (Drinfeld, V. G. (1990a). Quasi-Hopf algebras. Leningrad Math. J. 1:1419-1457) a quasi-Hopf algebra has, by definition, its antipode bijective. In this note, we will prove that for a quasitriangular quasi-Hopf algebra with an R-matrix R, this condition is unnecessary and also the condition of invertibility of R. Finally, we will give a characterization for a ribbon quasi-Hopf algebra. This characterization has already been given in Altschuler and Coste (Altschuler, D., Coste, A. (1992). Quasi-quantum groups, knots, three-manifolds and topological field theory. Comm. Math. Phys. 150:83-107.), but with an additional condition. We will prove that this condition is unnecessary. | Notes: | Univ Bucharest, Fac Math, RO-70109 Bucharest 1, Romania. Limburgs Univ Ctr, Diepenbeek, Belgium.Bulacu, D, Univ Bucharest, Fac Math, Str Acad 14, RO-70109 Bucharest 1, Romania. | Keywords: | quasi-Hopf algebra; R-matrix; antipode; ribbon element | Document URI: | http://hdl.handle.net/1942/2450 | ISSN: | 0092-7872 | e-ISSN: | 1532-4125 | DOI: | 10.1081/AGB-120017337 | ISI #: | 000182406900008 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2004 |
Appears in Collections: | Research publications |
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