Mahin Ranjbari - Sahand University of Technology
Yousef Zamani - Sahand University of Technology

‎‎In this paper‎, ‎we give a necessary and sufficient condition for the equality of two symmetrized decomposable polynomials‎. ‎Then‎, ‎we study some algebraic and geometric properties of the induced operators over symmetry classes of polynomials in the case of linear characters‎.

‎‎Symmetry class of polynomials‎, ‎Irreducible character‎, ‎Induced operator‎, ‎Symmetrized decomposable polynomial‎, ‎Derivative