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

In this paper we introduce generalized Spencer cohomology for finite depth Z-graded 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.

• Publication year

  1998

• Venue

  Advances in Theoretical and Mathematical Physics

• Publication date

  1998-05-01

• Fields of study

  Mathematics, Physics

• Identifiers
  DOI 10.4310/ATMP.1998.V2.N5.A7arXiv math/9805039
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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