Publications
Post-Lie algebra structures on pairs of Lie algebras KU Leuven
Equivalences of (co)module algebra structures over Hopf algebras Vrije Universiteit Brussel
We introduce the notion of support equivalence for (co)module algebras (over Hopf algebras), which generalizes in a natural way (weak) an equivalence of gradings. We show that for each equivalence class of (co)module algebra structures on a given algebra A, there exists a unique universal Hopf algebra H together with an H -(co)module structure on A such that any other equivalent (co)module algebra structure on A factors through the action of ...
POST-LIE ALGEBRA STRUCTURES AND GENERALIZED DERIVATIONS OF SEMISIMPLE LIE ALGEBRAS KU Leuven
Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras KU Leuven
Universal coacting Poisson Hopf algebras Vrije Universiteit Brussel
We introduce the analogue of Manin’s universal coacting (bialgebra) Hopf algebra for Poisson algebras. First, for two given Poisson algebras P and U, where U is finite dimensional, we construct a Poisson algebra B(P,U) together with a Poisson algebra homomorphism ψB(P,U):P→U⊗B(P,U) satisfying a suitable universal property. B(P,U) is shown to admit a Poisson bialgebra structure for any pair of Poisson algebra homomorphisms subject to certain ...