By using the methods of nonlinear functional analysis a single general operator symmetry condition is derived. It supplies a simple and systematic procedure for finding symmetry conditions in particular problems. From it the Lie algebra structure associated with symmetries is easily displayed and the classical Lie theory of symmetries of differential equations is obtained without needing the technique of the group extension. © 1976 Società Italiana di Fisica.
Magri, F. (1976). An operator approach to symmetries. NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, 34(2), 334-344 [10.1007/BF02728612].
An operator approach to symmetries
Magri, F
1976
Abstract
By using the methods of nonlinear functional analysis a single general operator symmetry condition is derived. It supplies a simple and systematic procedure for finding symmetry conditions in particular problems. From it the Lie algebra structure associated with symmetries is easily displayed and the classical Lie theory of symmetries of differential equations is obtained without needing the technique of the group extension. © 1976 Società Italiana di Fisica.
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