Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras

Details Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras

1998-05-07

arxiv.org/abs/math/9805039v3

Adv.Theor.Math.Phys.2:1141-1182,1998; Addendum-ibid.8:697-709,2004

Mathematics

Representation Theory

43 pages (published version)

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Spencer Cohomology and filtered Deformations of Z-graded Lie Superalgebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-202645