Structures de tressage du groupe de Poisson formel dual d-une bigèbre de Lie quasitriangulaireReportar como inadecuado



 Structures de tressage du groupe de Poisson formel dual d-une bigèbre de Lie quasitriangulaire


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Let g be a quasitriangular Lie bialgebra over a field K of characteristic zero, and let g^* be its dual Lie bialgebra. We prove that the formal Poisson group Kg^* is a braided Hopf algebra, thus generalizing a result due to Reshetikhin in the case g = sl2,K. The proof is via quantum groups, using the existence of a quasitriangular quantization of g^*, as well as the fact that this one provides also a quantization of Kg^*.



Autor: Fabio Gavarini; Gilles Halbout

Fuente: https://archive.org/







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