Abstract
Many of the developments in modern mathematics have to do with linear structures: linear spaces, linear operators and representations, linear algebra, etc. But many of the problems posed by Nature make use of nonlinearities in their expression and require adequate treatment of these nonlinearities. Still, what more specific motivations do we have to study nonlinear representations of Lie groups in linear spaces? We may of course reverse the argument and ask why in the past did we study mainly linear representations of a nonlinear object?!
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© 1980 D. Reidel Publishing Company, Dordrecht, Holland
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Flato, M., Sternheimer, D. (1980). Nonlinear Representations of Lie Groups and Applications. In: Wolf, J.A., Cahen, M., De Wilde, M. (eds) Harmonic Analysis and Representations of Semisimple Lie Groups. Mathematical Physics and Applied Mathematics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8961-0_14
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DOI: https://doi.org/10.1007/978-94-009-8961-0_14
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