Résumé Nous étudions une famille naturelle à deux paramètres de Diff (R)-et Vect (R)-
modules sur l'espace des opérateurs différentiels linéaires sur R. Le problème de …

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

Abstract Following Feigin and Fuchs, we compute the first cohomology of the Lie
superalgebra K (1) of contact vector fields on the (1, 1)-dimensional real or complex …

Cohomology of the Vector Fields Lie Algebra and Modules of Differential Operators on a
Smooth Manifold Page 1 Cohomology of the Vector Fields Lie Algebra and Modules of …

The main topic of this paper is two-fold. First, we compute the first relative cohomology group
of the Lie algebra of smooth vector fields on the projective line, Vect (ℝℙ1), with coefficients …

This work considers diffeomorphism groups of manifolds M as infinite-dimensional Lie–
Frechét groups. The main classes of infinite-dimensional subgroups are considered. The …

We define a 4-parameter family of generically irreducible and inequivalent representations
of the Witt Lie algebra on which the infinitesimal rotation operator acts semisimply with …

We introduce o (p+ 1 q+ 1)-invariant bilinear differential operators on the space of tensor
densities on R n generalizing the well-known bilinear sl 2-invariant differential operators in …

We consider the action of Vect Pol (R) by Lie derivative on the spaces of symbols of
differential operators. We study the deformations of this action that become trivial once …

The Bol operators are unary differential operators between spaces of weighted densities on
the 1-dimensional manifold invariant under projective transformations of the manifold. On …