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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.