5 citations · 5 across the 4 of their papers we have counts for
5 papers
Rational equivalence for enveloping algebras of three-dimensional Lie algebras
Jacques Alev, François Dumas, César Lecoutre
We study from the point of view of rational equivalence the enveloping algebras of Lie algebras of dimension 3 whose derived Lie subalgebra is of dimension 2, over an algebraically…
Formal deformations of the algebra of Jacobi forms and Rankin-Cohen brackets
Youngju Choie, François Dumas, François Martin +1
This work is devoted to the algebraic and arithmetic properties of Rankin-Cohen brackets allowing to define and study them in several natural situations of number theory. It focuse…
On enveloping skew fields of some lie superalgebras
Jacques Alev, François Dumas
We determine the skew fields of fractions of the enveloping algebra of the Lie superalgebra osp(1, 2) and of some significant subsu-peralgebras of the Lie superalgebra osp(1, 4). W…
Poisson structures and star products on quasimodular forms
François Dumas, Emmanuel Royer
We construct and classify all Poisson structures on quasimodular forms that extend the one coming from the first Rankin-Cohen bracket on the modular forms. We use them to build for…
On the automorphisms of
Nicolás Andruskiewitsch, François Dumas
Let g be a simple complex finite dimensional Lie algebra and let U_q^+(g) be the positive part of the quantum enveloping algebra of g. If g is of type A_2, the group of algebra aut…