symmetric polynomial
A polynomial f∈R[x1,…,xn] in n variables
with coefficients in a ring R is symmetric
if σ(f)=f for every permutation
σ of the set {x1,…,xn}.
Every symmetric polynomial can be written as a polynomial expression in the elementary symmetric polynomials.
Title | symmetric polynomial |
---|---|
Canonical name | SymmetricPolynomial |
Date of creation | 2013-03-22 12:08:55 |
Last modified on | 2013-03-22 12:08:55 |
Owner | djao (24) |
Last modified by | djao (24) |
Numerical id | 7 |
Author | djao (24) |
Entry type | Definition |
Classification | msc 13B25 |
Classification | msc 12F10 |