symmetricFunction -- Converts class function to symmetric function

Synopsis

• Usage:

  f = symmetricFunction(ch,S)

• Inputs:
  • ch, a Class function
  • S, a ring, a Symmetric or Schur ring
• Outputs:
  • f, a ring element, element of a Symmetric or Schur ring

Description

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

• classFunction -- Converts symmetric function to class function