Computation of cohomology of Lie conformal and Poisson vertex algebras

Computation of cohomology of Lie conformal and Poisson vertex algebras

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 cohomo...

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Bibliographic Details
Main Authors: Bakalov, Bojko (Author), De Sole, Alberto (Author), Kac, Victor G (Author)
Format: Article
Language:English
Published: Springer International Publishing, 2021-09-20T17:20:26Z.
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Online Access:Get fulltext
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100 1 0 |a Bakalov, Bojko  |e author 
700 1 0 |a De Sole, Alberto  |e author 
700 1 0 |a Kac, Victor G  |e author 
245 0 0 |a Computation of cohomology of Lie conformal and Poisson vertex algebras 
260 |b Springer International Publishing,   |c 2021-09-20T17:20:26Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/131571 
520 |a 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. 
546 |a en 
655 7 |a Article 

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