The study of Galois theory often begins with the observation that the coefficients of a quadratic equation are, up to sign, the elementary examples of these objects in two variables of degree one and two.
A product of two examples of one class of these objects may be written as a linear combination of other members of that class using coefficients given by the Littlewood-Richardson rule. That class of these objects are the characters of the irreducible representations of general linear groups, known as the Schur ones. The Newton-Girard formula relates elementary examples of these to power sums. The study of Galois theory often begins with the observation that the coefficients of a quadratic equation are, up to sign, the elementary examples of these objects in two variables of degree one and two. FTP, give these mathematical objects, formulas formed only from one or more variables and their powers which are invariant under permutations of those variables, such as x + y.
A product of two examples of one class of these objects may be written as a linear combination of other members of that class using coefficients given by the Littlewood-Richardson rule.
{symmetric polynomial}s (accept equivalents; prompt on {polynomial}s)