A symmetric polynomial of n variables {x1, ..., xn} is invariant under any permutation of its variables. The k elementary symmetric polynomial is the sum of all square-free monomials of degree k.
The degree k must satisfy 0≤k≤n.
The elementary symmetric polynomials form a basis for the symmetric polynomials.
Expressing a general symmetric polynomial in terms of elementary symmetric polynomials is accomplished by using SymmetricReduction.
elementary symmetric polynomial in the variables x1, ..., xn.
elementary symmetric polynomial is the sum of all square-free monomials of degree k.
EXAMPLES
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