A method for constructing Lagrangians for the Lie transformation groups is explained. As examples, Lagrangians for real plane rotations and affine transformations of the real line are constructed.
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Paal, E., Virkepu, J. (2009). How to Compose Lagrangian?. In: Silvestrov, S., Paal, E., Abramov, V., Stolin, A. (eds) Generalized Lie Theory in Mathematics, Physics and Beyond. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85332-9_12
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DOI: https://doi.org/10.1007/978-3-540-85332-9_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85331-2
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