How to compose Lagrangian?
Eugen Paal, Jyri Virkepu
TL;DR
This paper presents a method for constructing Lagrangians associated with Lie transformation groups, demonstrated through examples involving real plane rotations and affine transformations of the real line.
Contribution
It introduces a systematic approach to derive Lagrangians for Lie groups, with explicit examples for specific transformation groups.
Findings
Lagrangians for real plane rotations are constructed.
Lagrangians for affine transformations of the real line are derived.
The method simplifies the process of associating Lagrangians with Lie groups.
Abstract
A method for constructing Lagrangians for the Lie transformation groups is explained. As examples, the Lagrangians for real plane rotations and affine transformations of the real line are constructed.
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Taxonomy
TopicsHistory and Theory of Mathematics · Mathematics and Applications