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SchurRings :: symmetricFunction

symmetricFunction -- Converts class function to symmetric function

Synopsis

Description

Given a virtual character cF of a symmetric group, and given a Symmetric ring S, the method computes the corresponding symmetric function as an element of S.

i1 : S = symmetricRing(QQ,4);
i2 : cF = new ClassFunction from {{1,1,1,1}=>24};
i3 : symmetricFunction(cF,S)

      4
o3 = p
      1

o3 : S
i4 : symmetricFunction(cF,schurRing S)

o4 = s  + 3s    + 2s    + 3s      + s
      4     3,1     2,2     2,1,1    1,1,1,1

o4 : schurRing (QQ, s, 4)

See also

Ways to use symmetricFunction :

For the programmer

The object symmetricFunction is a method function.