Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis

Details Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis

1999-06-08

arxiv.org/abs/math/9906046v1

Computer Algebra in Scientific Computing, V.G.Ganzha, E.W.Mayr and E.V.Vorozhtsov, eds., Springer (1999), pp. 241-249

Mathematics

Numerical Analysis

11 pages, LaTeX, uses the Springer file lncse.cls

Scientific paper

We present the results of computation of cohomology for some Lie (super)algebras of Hamiltonian vector fields and related algebras. At present, the full cohomology rings for these algebras are not known even for the low dimensional vector fields. The partial ``experimental'' results may give some hints for solution of the whole problem. The computations have been carried out with the help of recently written program in C language. Some of the presented results are new.

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