3 papers
math.RT2019
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…
math.RT2018
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…
math.RT2018
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…