Abstract
Basic definitions and some results in the recently developed theory of nonlinear Lie group representations in Banach and Fréchet spaces are presented. Using cohomological methods, this framework permits a study of the linearizability of covariant nonlinear evolution equations. Formal linearizability is proved under some conditions on the linear part of the representation, for massive and for massless Poincaré covariant equations. In particular, pure Yang-Mills equations supplemented with a relativistic gauge condition are formally linearizable.
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Sternheimer, D. (1980). Nonlinear group representations and the linearizability of nonlinear equations. In: Osterwalder, K. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09964-6_339
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DOI: https://doi.org/10.1007/3-540-09964-6_339
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Online ISBN: 978-3-540-39174-6
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