1 citations · 2 across the 6 of their papers we have counts for
6 papers
On a Poisson-algebraic characterization of vector bundles
Elie Zihindula Mushengezi
We prove that the algebra of symbols of differential operators acting on the sections of the vector bundle decompose into the…
Classical Poisson algebra of a vector bundle : Lie-algebraic characterization
P. B. A Lecomte, Elie Zihindula Mushengezi
We prove that the Lie algebra of symbols of linear operators acting on smooth sections of a vector bundle characterizes it. To obtain this…
On Gel'fand-Kolmogoroff type results
Elie Zihindula Mushengezi
We prove that a vector bundle is characterized by the associative structure of the space of symbols of the Lie algebra generated by all differential operators on whi…
Lie algebra of homogeneous operators of a vector bundle
P. B. A. Lecomte, Elie Zihindula Mushengezi
We prove that for a vector bundle , the Lie algebra generated by all differential operators on which are eigenvectors of $L_{\mathcal{E…
On Pursell-Shanks type results
Pierre B. A. Lecomte, Elie Zihindula Mushengezi
We prove a Lie-algebraic characterization of vector bundle for the Lie algebra seen as module, of all linear operators acting on sections of…
On a Lie Algebraic Characterization of Vector Bundles
Pierre B. A. Lecomte, Thomas Leuther, Elie Zihindula Mushengezi
We prove that a vector bundle is characterized by the Lie algebra generated by all differential operators on which are eigenvectors of the Lie derivative in the di…