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add dim function for Characters
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@ -22,6 +22,11 @@ end
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Nemo.isone(p::GroupElem) = p == parent(p)()
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function Nemo.dim(χ::PropertyT.PermCharacter)
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G = PermutationGroup(sum(χ.p))
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return χ(G())
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end
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## NOTE: this works only for Z/2!!!!
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function (chi::DirectProdCharacter)(g::DirectProductGroupElem)
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return reduce(*, 1, ((-1)^isone(g.elts[j]) for j in 1:chi.i))
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