5 papers
On the super Jordan plane
Nicolás Andruskiewitsch, François Dumas
We study algebraic properties of the super Jordan plane~ introduced by I. Angiono, I. Heckenberger and the first named author. Concretely we show that is s…
Alg{è}bres diff{é}rentielles de formes quasi-Jacobi d'indice nul
François Dumas, François Martin, Emmanuel Royer
The notion of double depth associated with quasi-Jacobi forms allows distinguishing,within the algebra of quasi-Jacobi singular forms of index zero, certain significant subalgebras…
Differential algebras of quasi-Jacobi forms of index zero
François Dumas, François Martin, Emmanuel Royer
The notion of double depth associated with quasi-Jacobi forms allows distinguishing, within the algebra of quasi-Jacobi singular forms of index zero, certain significant subalgebra…
On the double of the Jordan plane
Nicolás Andruskiewitsch, François Dumas, Héctor Martín Peña Pollastri
We compute the simple finite-dimensional modules and the center of the Drinfeld double of the Jordan plane introduced in assuming that the characteristi…
Invariants of formal pseudodifferential operator algebras and algebraic modular forms
François Dumas, François Martin
We study from an algebraic point of view the question of extending an action of a group \(Γ\) on a commutative domain \(R\) to a formal pseudodifferential operator ring \(B=R(\!(x\…