43 citations · 97 across the 6 of their papers we have counts for
8 papers
Cohomology of Lie conformal algebroids
Alberto De Sole, Jiefeng Liu, Daniele Valeri
We study Lie conformal algebroids (LCAd) and their representations using the language of lambda-brackets and Lie conformal algebras. We describe several general constructions, such…
Poisson vertex algebra cohomology and differential Harrison cohomology
Bojko Bakalov, Alberto De Sole, Victor G. Kac +1
We construct a canonical map from the Poisson vertex algebra cohomology complex to the differential Harrison cohomology complex, which restricts to an isomorphism on the top degree…
Chiral vs classical operad
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +1
We establish an explicit isomorphism between the associated graded of the filtered chiral operad and the classical operad, which is useful for computing the cohomology of vertex al…
Generators of the quantum finite W-algebras in type A
Alberto De Sole, Laura Fedele, Daniele Valeri
We prove a conjecture proposed in [DSKV16] describing the Lax type operator L(z) for the quantum finite W-algebras of gl_N in terms of a PBW generating system for the W-algebra. In…
Non-local Poisson structures and applications to the theory of integrable systems
Alberto De Sole, Victor G. Kac
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applic…
Non-local Poisson structures and applications to the theory of integrable systems II
Alberto De Sole, Victor G. Kac
We develop further the Lenard-Magri scheme of integrability for a pair of compatible non-local Poisson structures, which we discussed in Part I. We apply this scheme to several suc…