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SchurRings :: classFunction(BasicList)

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

Synopsis

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