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elementarySymmetricPolynomials(PolynomialRing) -- the elementary symmetric polynomials

Synopsis

Description

As an example the elementary symmetric polynomials of a ring with three variables are calculated. These polynomials form a basis for the ring of symmetric polynomials.

i1 : R = QQ[x_1..x_3]

o1 = R

o1 : PolynomialRing
i2 : elementarySymmetricPolynomials R

o2 = {x  + x  + x , x x  + x x  + x x , x x x }
       1    2    3   1 2    1 3    2 3   1 2 3

o2 : List

See also

Ways to use this method: