30 citations · 98 across the 12 of their papers we have counts for
7 papers · 1 filter
Cohomology of associative H-pseudoalgebras
Jose I. Liberati
We define cohomology of associative H-pseudoalgebras, and we show that it describes module extensions, abelian pseudoalgebra extensions, and pseudoalgebra first order deformations.…
Tensor product of modules over a Lie conformal algebra
Jose I. Liberati
We find a necessary and sufficient condition for the existence of the tensor product of modules over a Lie conformal algebra. We provide two algebraic constructions of the tensor p…
Tensor product of modules over a vertex algebra
Jose I. Liberati
We found a necessary and sufficient condition for the existence of the tensor product of modules over a vertex algebra. We defined the notion of vertex bilinear map and we provide…
Cohomology of vertex algebras
Jose I. Liberati
Let be a vertex algebra and a -module. We define the first and second cohomology of with coefficients in , and we show that the second cohomology co…
On pseudo-bialgebras
Carina Boyallian, José I. Liberati
We study pseudoalgebras from the point of view of pseudo-dual of classical Lie coalgebra structures. We define the notions of Lie H-coalgebra and Lie pseudo-bialgebra. We obtain th…
Finite growth representations of infinite Lie conformal algebras
Carina Boyallian, Victor G. Kac, Jose I. Liberati
We classify all finite growth representations of all infinite rank subalgebras of the Lie conformal algebra gc_1 that contain a Virasoro subalgebra.