30 citations · 106 across the 11 of their papers we have counts for
14 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…
An approach to Quantum Conformal Algebra
Carina Boyallian, Vanesa Meinardi
We aim to explore if inside a quantum vertex algebras, we can find the right notion of a quantum conformal algebra.
QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators
Karina Batistelli, Carina Boyallian
In this paper we classify the irreducible quasifinite highest weight modules over the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseud…
Irreducible Continuous Representations of the Simple Linearly Compact n-Lie Superalgebra of type
Carina Boyallian, Vanesa Meinardi
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective…
Lie subalgebras of the matrix quantum pseudo differential operators
Karina Batistelli, Carina Boyallian
We give a complete description of the anti-involutions that preserve the principal gradation of the algebra of matrix quantum pseudodifferential operators and we describe the Lie s…