par Cahen, Michel 
;Gutt, Simone ;Ohn, Christian ;Parker, Monique
Référence letters in mathematical physics, 19, 4, page (343-353)
Publication Publié, 1990-05
;Gutt, Simone ;Ohn, Christian ;Parker, Monique Référence letters in mathematical physics, 19, 4, page (343-353)
Publication Publié, 1990-05
Article révisé par les pairs
| Résumé : | The aim of this Letter is twofold. On the one hand, we discuss two possible definitions of complex structures on Poisson-Lie groups and we give a complete classification of the isomorphism classes of complex Lie-Poisson structures on the group SL(2, ℂ). On the other hand, we give an algebraic characterization of a class of solutions of the Yang-Baxter equations which contains the well-known Drinfeld solutions [1]; in particular, we prove the existence of a nontrivial Lie-Poisson structure on any simply connected real semi-simple Lie Group G. Other low dimensional examples will appear elsewhere. © 1990 Kluwer Academic Publishers. |
