Service de Physique Théorique de Saclay, F-91191, Gif-sur-Yvette Cedex, France
Abstract:
Quasi-triangular quantum Lie algebras are algebras of quantum Lie derivatives. We show how to associate a quasi-triangular quantum Lie algebra to any quantum group defined by exchange relations. This provides a systematical way for constructing bi-covariant differential calculus on exchange quantum groups.