Abstract:In the work we present a rather general approach for finding connections between the symmetries of -potentials, variational symmetries, and algebraic structures, Lie-admissible algebras and Lie algebras. In order to do this, in the space of the generators of the symmetries of the functionals we define such bilinear operations as (S, T)-product, G-commutator, commutator. In the first part of the work, to provide a complete description, we recall needed facts on -potential operators, invariant functionals and va… Show more
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