Symmetric functions

function that is invariant under all permutations of its variables

polynomial where any interchange in variables results in the same polynomial

a combinatorial object useful in representation theory

relations between power sums and elementary symmetric functions

inequality relating elementary symmetric means

homogeneous symmetric polynomial in which each possible monomial occurs exactly once with coefficient 1

inequality

British mathematician (1928–2023)

tool for solving algebraic equations with valued coefficients

Type of symmetric polynomials in mathematics

distributive lattice of integer partitions

In mathematics, symmetrization is a process that converts any function in n variables to a symmetric function in n variables. Similarly, antisymmetrization converts any function in n variables into an antisymmetric function.