classFunction(BasicList) -- Character of irreducible representation of symmetric group

Synopsis

• Function: classFunction

• Usage:

  ch = classFunction(l)

• Inputs:
  • l, a basic list, partition
• Outputs:
  • ch, a Class function,

Description

i1 : R = symmetricRing(QQ,7);

i2 : cF = classFunction({3,2,1})

o2 = ClassFunction{{1, 1, 1, 1, 1, 1} => 16}
                   {3, 1, 1, 1} => -2
                   {3, 3} => -2
                   {5, 1} => 1

o2 : ClassFunction

i3 : toS(symmetricFunction(cF,R))

o3 = s
      3,2,1

o3 : schurRing (QQ, s, 7)

See also

• symmetricFunction -- Converts class function to symmetric function