Diagrammatic categorification Read more about Diagrammatic categorification In a joint work with Marco Mackaay, we categorify the extended affine type A Hecke algebra and the a
On symmetric polynomials with only real zeros and nonnegative gamma vectors Read more about On symmetric polynomials with only real zeros and nonnegative gamma vectors The Eulerian and Narayana polynomials are the generating functions of many combinatorial objects. T
Universal central extensions of Hom-Leibniz algebras Read more about Universal central extensions of Hom-Leibniz algebras The main goal of this talk is to present the generalization of classical results that characteriz
Enveloping skew fields of some super Lie algebras Read more about Enveloping skew fields of some super Lie algebras In a previous paper, joint with François Dumas, we had studied a family of skew fields called "Mixe
A Poisson Gel'fand-Kirillov problem in positive characteristic. Read more about A Poisson Gel'fand-Kirillov problem in positive characteristic. We study a problem of birational equivalence for polynomial Poisson algebras over a field of arbitra
A non-abelian tensor product of Hom-Lie algebras Read more about A non-abelian tensor product of Hom-Lie algebras A non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is
Hochschild (co)homology of down-up algebras Read more about Hochschild (co)homology of down-up algebras Let $K$ be a fixed field. Given parameters $(\alpha,\beta,\gamma) \in K^{3}$, the associated down-
Hopf Algebras and Ore Extensions Read more about Hopf Algebras and Ore Extensions Ore extensions provide a way of constructing new algebras from preexisting ones, by adding a new ind
The structure of split regular BiHom-Lie algebras Read more about The structure of split regular BiHom-Lie algebras After recall classical results in order to place our work, we introduce the class of split regular B
Long cycles in Hamiltonian graphs Read more about Long cycles in Hamiltonian graphs In 1975, Sheehan conjectured that every d-regular Hamiltonian graph contains a second Hamiltonian cy