Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis
نویسنده
چکیده
In this 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.
منابع مشابه
Computation of Cohomology of Lie Superalgebras of Vector Fields
The cohomology of Lie (super)algebras has many important applications in mathematics and physics. It carries most fundamental (“topological”) information about algebra under consideration. At present, because of the need for very tedious algebraic computation, the explicitly computed cohomology for different classes of Lie (super)algebras is known only in a few cases. That is why application of...
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