The geometry of differential difference equations

G.F. Helminck; Gerhard F. Post

doi:10.1016/0019-3577(94)90016-7

The geometry of differential difference equations

G.F. Helminck, Gerhard F. Post

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

To each maximal commuting subalgebra h of glm(C) is associated a system of differential difference equations, generalizing several known systems. Starting from a Grassmann manifold, solutions are constructed, their properties are discussed and the relation with other systems is given. Finally it is shown how to express these solutions in T-functions.

Original language	English
Pages (from-to)	411-438
Number of pages	28
Journal	Indagationes mathematicae
Volume	5
Issue number	4
DOIs	https://doi.org/10.1016/0019-3577(94)90016-7
Publication status	Published - 1994

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title = "The geometry of differential difference equations",

abstract = "To each maximal commuting subalgebra h of glm(C) is associated a system of differential difference equations, generalizing several known systems. Starting from a Grassmann manifold, solutions are constructed, their properties are discussed and the relation with other systems is given. Finally it is shown how to express these solutions in T-functions.",

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AU - Helminck, G.F.

AU - Post, Gerhard F.

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AB - To each maximal commuting subalgebra h of glm(C) is associated a system of differential difference equations, generalizing several known systems. Starting from a Grassmann manifold, solutions are constructed, their properties are discussed and the relation with other systems is given. Finally it is shown how to express these solutions in T-functions.

U2 - 10.1016/0019-3577(94)90016-7

DO - 10.1016/0019-3577(94)90016-7

M3 - Article

SN - 0019-3577

VL - 5

SP - 411

EP - 438

JO - Indagationes mathematicae

JF - Indagationes mathematicae

IS - 4

ER -

The geometry of differential difference equations

Abstract

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