Computation of cohomology of Lie conformal and Poisson vertex algebras

Author(s)
Bakalov, Bojko; De Sole, Alberto; Kac, Victor G
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Abstract
Abstract We develop methods for computation of Poisson vertex algebra cohomology. This cohomology is computed for the free bosonic and fermionic Poisson vertex (super)algebras, as well as for the universal affine and Virasoro Poisson vertex algebras. We establish finite dimensionality of this cohomology for conformal Poisson vertex (super)algebras that are finitely and freely generated by elements of positive conformal weight.
Date issued
2020-07-10
URI
https://hdl.handle.net/1721.1/131571
Publisher
Springer International Publishing
Citation
Selecta Mathematica. 2020 Jul 10;26(4):50
Version: Author's final manuscript
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