V. Ovsienko

activity

19952005

most citedDeforming the Lie algebra of vector fields on

S^{1}

inside the Poisson algebra on

T ˙^{*} S^{1}

53 citations · 122 across the 8 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.QA2003★ 28 cited

Deformations of modules of differential forms

B. Agrebaoui, M. Ben Ammar, N. Ben Fraj +1

We study non-trivial deformations of the natural action of the Lie algebra $Vect (R^{n})$ on the space of differential forms on $R^{n}$ . We calculate abstra…

math.QA2001★ 11 cited

Projectively equivariant quantization and symbol calculus: noncommutative hypergeometric functions

C. Duval, V. Ovsienko

We extend projectively equivariant quantization and symbol calculus to symbols of pseudo-differential operators. An explicit expression in terms of hypergeometric functions with no…

math.QA2000★ 4 cited

Multi-parameter deformations of the module of symbols of differential operators

F. Ammar, B. Agrebaoui, V. Ovsienko

The space of symbols of differential operators on a smooth manifold (i.e., the space of symmetric contravariant tensor fields) is naturally a module over the Lie algebra of vector…