fundamental theorem of symmetric polynomials
Every symmetric polynomial in the indeterminates can be expressed as a polynomial in the elementary symmetric polynomials of . The polynomial is unique, its coefficients are elements of the ring determined by the coefficients of and its degree with respect to is same as the degree of with respect to .
Title | fundamental theorem of symmetric polynomials |
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Canonical name | FundamentalTheoremOfSymmetricPolynomials |
Date of creation | 2013-03-22 19:07:40 |
Last modified on | 2013-03-22 19:07:40 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 7 |
Author | pahio (2872) |
Entry type | Theorem |
Classification | msc 13B25 |
Classification | msc 12F10 |
Synonym | fundamental theorem of symmetric functions |