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

Function: classFunction
Usage:

ch = classFunction(l)
Inputs:
- l, a basic list, partition
Outputs:
- ch, a Class function,

Description

Given a partition l of N, the method computes the character of the irreducible S_N-representation corresponding to the partition l.

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

Ways to use this method:

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

The source of this document is in /build/macaulay2-88fgJW/macaulay2-1.25.11+ds/M2/Macaulay2/packages/SchurRings.m2:2841:0.