Titlebook: Geometric and Algebraic Structures in Differential Equations; P. H. M. Kersten,I. S. Krasil’Shchik Book 1995 Kluwer Academic Publishers 19

Vsd168

Economic Theories of Information,In this paper, we introduce a package to compute homology and cohomology spaces of Lie superalgebras. We describe most of its features and the implementation in REDUCE.

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photopsia

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勋章

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Horst-Manfred Schellhaass,Ulrich StumpfQuantities which are conserved in nondissipative media decay in the presence of dissipation. The velocity of such a decay (or the ‘balance law’) may be found explicitly using the generating function of the conservation law. The general approach is illustrated with a system of MHD equations for incompressible magnetofluids.

refine

Computation by Computer of Lie Superalgebra Homology and Cohomology,In this paper, we introduce a package to compute homology and cohomology spaces of Lie superalgebras. We describe most of its features and the implementation in REDUCE.

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美色花钱

Exact Gerstenhaber Algebras and Lie Bialgebroids,We show that to any Poisson manifold and, more generally, to any triangular Lie bialge-broid in the sense of Mackenzie and Xu, there correspond two differential Gerstenhaber algebras in duality, one of which is canonically equipped with an operator generating the graded Lie algebra bracket, i.e. with the structure of a Batalin-Vilkovisky algebra.

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Differential Invariants,This paper summarizes recent results on the number and characterization of differential invariants of transformation groups. Generalizations of theorems due to Ovsiannikov and to M. Green are presented, as well as a new approach to finding bounds on the number of independent differential invariants.