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The thesis was defended by the author in University of Angers (France). Itconsists of four parts. The fist part (in French) is introductory and isdevoted to relation between quantum groups, integrable systems and statisticalmodels. In the second part (in English) the transition function of the periodicToda chain is interpreted in terms of the formalism of rational Lax operators.In the third part (in French) one compares two elliptic quantum groups and oneconclude that they belong to two different bialgebra categories. The fourthpart (in English) contains a construction of the partition function of the SOSmodel in terms of the projections of an elliptic quantum group.

Groupes quantiques associes aux courbes rationnelles et elliptiques et leurs applications