2 citations · 3 across the 8 of their papers we have counts for
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Lie antialgebras: cohomology and representations
Valentin Ovsienko
We describe the main algebraic and geometric properties of the class of algebras introduced in [arXiv:0705.1629]. We discuss their origins in symplectic geometry and associative al…
Bi-Hamiltonian nature of the equation
Valentin Ovsienko
We study non-linear integrable partial differential equations naturally arising as bi-Hamiltonian Euler equations related to the looped cotangent Virasoro algebra. This infinite-di…
Supertransvectants and symplectic geometry
Hichem Gargoubi, Valentin Ovsienko
We consider the -invariant bilinear operations on weighted densities on the supercircle called the supertransvectants. These operations are analogues of the fam…
Large Coadjoint representation of Virasoro-type Lie algebras and differential operators on tensor-densities
Valentin Ovsienko
We discuss the geometrical nature of the coadjoint representation of the Virasoro algebra and some of its generalizations. The isomorphism of the coadjoint representation of the Vi…