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SchurRings :: internalProduct(ClassFunction,ClassFunction)

internalProduct(ClassFunction,ClassFunction) -- Tensor product of virtual representations

Synopsis

Description

Given virtual characters ch1 and ch2, the method computes the character of the tensor product of corresponding virtual representations of the symmetric group.

i1 : ch1 = new ClassFunction from {{4,4} => 2, {8} => -1, {5,2,1} => 2, {3,2,2,1} => 1};
i2 : ch2 = new ClassFunction from {{2,2,2,2} => -4, {5,2,1} => 1, {3,2,2,1} => 3};
i3 : internalProduct(ch1,ch2)

o3 = ClassFunction{{3, 2, 2, 1} => 3}
                   {5, 2, 1} => 2

o3 : ClassFunction
i4 : ch1 * ch2

o4 = ClassFunction{{3, 2, 2, 1} => 3}
                   {5, 2, 1} => 2

o4 : ClassFunction