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On discrete models on one-dimensional lattices with specified Lie algebra of symmetries

✍ Scribed by A. I. Balins'kyy


Book ID
112471902
Publisher
Springer
Year
1992
Tongue
English
Weight
313 KB
Volume
44
Category
Article
ISSN
0041-5995

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Symmetry reduction of discrete Lagrangia
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For a discrete mechanical system on a Lie group G determined by a (reduced) Lagrangian , we define a Poisson structure via the pull-back of the Lie-Poisson structure on the dual of the Lie algebra g \* by the corresponding Legendre transform. The main result shown in this paper is that this structur