×

zbMATH — the first resource for mathematics

Poisson-Lie quasigroups. (Quasi-groupes de Lie-Poisson.) (French) Zbl 0924.58117
Summary: We define the Poisson-Lie quasigroups, which are dual to the quasi-Poisson Lie groups, and we prove that the tangent space at the identity of a Poisson-Lie quasigroup is a co-Jacobian quasi-bialgebra.

MSC:
58H15 Deformations of general structures on manifolds
17B37 Quantum groups (quantized enveloping algebras) and related deformations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
PDF BibTeX XML Cite