Induced operators on symmetry classes of polynomials

Abstract

‎‎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.

Keywords

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