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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
