منابع مشابه
On the Leibniz cohomology of vector fields
I. M. Gelfand and D. B. Fuks have studied the cohomology of the Lie algebra of vector fields on a manifold. In this article, we generalize their main tools to compute the Leibniz cohomology, by extending the two spectral sequences associated to the diagonal and the order filtration. In particular, we determine some new generators for the diagonal Leibniz cohomology of the Lie algebra of vector ...
متن کاملDifferential Graded Cohomology and Lie Algebras of Holomorphic Vector Fields
The continuous cohomology of Lie algebras of C-vector fields has proven to be a subject of great geometrical interest: One of its most famous applications is the construction of the Virasoro algebra as the universal central extension of the Lie algebra of vector fields on the circle. So there is the natural problem of calculating the continuous cohomology of the Lie algebra of holomorphic vecto...
متن کاملComputation 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...
متن کاملCohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis
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 th...
متن کاملconstruction of vector fields with positive lyapunov exponents
in this thesis our aim is to construct vector field in r3 for which the corresponding one-dimensional maps have certain discontinuities. two kinds of vector fields are considered, the first the lorenz vector field, and the second originally introced here. the latter have chaotic behavior and motivate a class of one-parameter families of maps which have positive lyapunov exponents for an open in...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1996
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-36-1-51-59