V. Ovsienko

activity

19952023

most citedDifferential operators on supercircle: conformally equivariant quantization and symbol calculus

70 citations · 395 across the 55 of their papers we have counts for

collaborators

Showing 1996Show all

3 papers · 1 filter

dg-ga1996★ 13 cited

Projectively invariant symbol map and cohomology of vector fields Lie algebras intervening in quantization

P. B. A. Lecomte, V. Yu. Ovsienko

We define the unique (up to normalization) symbol map from the space of linear differential operators on $R^{n}$ to the space of polynomial on fibers functions on $T^{*} R^{n}$ , equivari…

hep-th1996★ 1 cited

Extension of the Virasoro and Neveu-Schwartz algebras and generalized Sturm-Liouville operators

P. Marcel, V. Ovsienko, C. Roger

We consider the universal central extension of the Lie algebra $\Vect (S^1)${\math \s} $C^{\infty} (S^{1})$ . The coadjoint representation of this Lie algebra has a natural geometric i…

dg-ga1996★ 5 cited

Space of linear differential operators on the real line as a module over the Lie algebra of vector fields

H. Gargoubi, V. Ovsienko

Let $D^{k}$ be the space of $k$ -th order linear differential operators on $R$ : $A = a_{k} (x) \frac{d ^{k}}{d x ^{k}} + \dots + a_{0} (x)$ . We study a natural 1-parameter family of $\Diff(…