30 citations · 98 across the 12 of their papers we have counts for
15 papers
Differential Lie Coalgebras and Lie Conformal Algebras
Carina Boyallian, Jose I. Liberati
We define a functor from the category of Lie conformal algebras to the category of differential Lie coalgebras, which associates to any Lie conformal algebra a differential Lie…
Classification of simple differential Lie and Jordan (super)coalgebras of finite rank
Carina Boyallian, Jose I. Liberati
We classify simple differential Lie and Jordan (super)coalgebras of finite rank. In particular, we provide an explicit description of the Lie supercoalgebras associated with the op…
Pell equation: A generalization of continued fraction and Chakravala algorithms using the LLL-algorithm
Jose I. Liberati
We introduce a generalization of the continued fraction and Chakravala algorithms for solving the Pell equation, utilizing the LLL-algorithm for rank 2 lattices.
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…