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14 changes: 14 additions & 0 deletions src/GenericCharacter.jl
Original file line number Diff line number Diff line change
Expand Up @@ -392,6 +392,20 @@
return sum//order(t)
end

function character_decomposition_multiplicity(char1::GenericCharacter, char2::GenericCharacter, char3::GenericCharacter)
check_parent(char1, char2)
check_parent(char1, char3)
t = parent(char1)
sum = 0
for class in 1:number_of_conjugacy_class_types(t)
val1 = shift_char_parameters(t, char1[class], 1)
val2 = shift_char_parameters(t, char2[class], 2)
val3 = shift_char_parameters(t, char3[class], 3)
sum += t.classlength[class] * classsum(t, class, val1 * val2 * conj(val3))
end
return shrink(sum//order(t))

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end

@doc raw"""
specialize(char::GenericCharacter, var::UPoly, expr::RingElement)

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