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

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Four Issues in Socratic Economic Analysis,raded Fr?licher-Nijenhuis bracket cohomological invariants ..(.) are related to each object (.,?) of the theory. Within this framework, ...) generalizes the Lie algebra of symmetries for PDE’s, while ..(.) are identified with equivalence classes of infinitesimal deformations. It is shown that elemen

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https://doi.org/10.1007/978-3-319-65268-9erential forms and de Rham complexes are constructed. For colour differential equations, Spencer complexes are constructed. Relations between colour commutative algebras and quantizations of usual algebras are considered.

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Economic Analysis of Music Copyright contribution we apply this super Lax formalism to the Lie superalgebra . = Mat(.,.,Λ) to derive a superversion of the Toda lattice. Here Λ is a Grassmann algebra with some unspecified number of odd generators. We only give an outline of this construction and refer to [3] for all the details.

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Four Issues in Socratic Economic Analysis,ts of a certain part of ..(.) can be interpreted as recursion operators for the object (.,?), i.e. operators giving rise to infinite series of symmetries. Explicit formulas for computing recursion operators are deduced. The general theory is illustrated by a particular example of a graded differential equation, i.e. the Super KdV equation.

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Book 1995e (The Netherlands), where thestate-of-the-art of the main problems was fixed. This book contains acollection of invited lectures presented at this workshop. Thematerial presented is of interest to those who work in pure andapplied mathematics and especially in mathematical physics.