We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Classical and variational Poisson cohomology.
- Authors
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G.; Vignoli, Veronica
- Abstract
We prove that, for a Poisson vertex algebra V , the canonical injective homomorphism of the variational cohomology of V to its classical cohomology is an isomorphism, provided that V , viewed as a differential algebra, is an algebra of differential polynomials in finitely many differential variables. This theorem is one of the key ingredients in the computation of vertex algebra cohomology. For its proof, we introduce the sesquilinear Hochschild and Harrison cohomology complexes and prove a vanishing theorem for the symmetric sesquilinear Harrison cohomology of the algebra of differential polynomials in finitely many differential variables.
- Subjects
POISSON algebras; DIFFERENTIAL algebra; VANISHING theorems; ALGEBRA; POLYNOMIALS
- Publication
Japanese Journal of Mathematics, 2021, Vol 16, Issue 2, p203
- ISSN
0289-2316
- Publication type
Article
- DOI
10.1007/s11537-021-2109-2