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. © 1993 Springer-Verlag London Limited.

Symmetries of differential behaviors and finite group actions on free modules over a polynomial ring / DE CONCINI, Corrado; Fabio, Fagnani. - In: MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. - ISSN 0932-4194. - 6:4(1993), pp. 307-321. [10.1007/bf01211499]

Symmetries of differential behaviors and finite group actions on free modules over a polynomial ring

DE CONCINI, Corrado;
1993

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. © 1993 Springer-Verlag London Limited.
1993
group action; partial differential equations; polynomial ring; reflections; symmetry
01 Pubblicazione su rivista::01a Articolo in rivista
Symmetries of differential behaviors and finite group actions on free modules over a polynomial ring / DE CONCINI, Corrado; Fabio, Fagnani. - In: MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS. - ISSN 0932-4194. - 6:4(1993), pp. 307-321. [10.1007/bf01211499]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/454402
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