Abstract
In this paper we study finite group symmetries of differential behaviors (i.e., kernels of linear constant coefficient partial differential operators). They lead us to study the actions of a finite group on free modules over a polynomial ring. We establish algebraic results which are then used to obtain canonical differential representations of symmetric differential behaviors.
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de Concini, C., Fagnani, F. Symmetries of differential behaviors and finite group actions on free modules over a polynomial ring. Math. Control Signal Systems 6, 307–321 (1993). https://doi.org/10.1007/BF01211499
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DOI: https://doi.org/10.1007/BF01211499