Addendum: Generalized Spencer Cohomology and Filtered Deformations of Z-graded Lie Superalgebras

@inproceedings{Cheng1998AddendumGS,
  title={Addendum: Generalized Spencer Cohomology and Filtered Deformations of Z-graded Lie Superalgebras},
  author={Sui Sun Cheng and Victory G. Kac},
  year={1998}
}
In this paper we introduce generalized Spencer cohomology for finite depth Zgraded Lie (super)algebras. We develop a method of finding filtered deformations of such Z-graded Lie (super)algebras based on this cohomology. As an application we determine all simple filtered deformations of certain Z-graded Lie superalgebras classified in [K3], thus completing the last step in the classification of simple infinite-dimensional linearly compact Lie superalgebras. 

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