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indentation
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@ -49,47 +49,45 @@ end
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#
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###############################################################################
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function central_projection(RG::GroupRing, chi::AbstractCharacter,
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T::Type=Rational{Int})
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result = RG(T)
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result.coeffs = full(result.coeffs)
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dim = chi(RG.group())
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ord = Int(order(RG.group))
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function central_projection(RG::GroupRing, chi::AbstractCharacter, T::Type=Rational{Int})
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result = RG(T)
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result.coeffs = full(result.coeffs)
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dim = chi(RG.group())
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ord = Int(order(RG.group))
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for g in RG.basis
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result[g] = convert(T, (dim//ord)*chi(g))
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end
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for g in RG.basis
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result[g] = convert(T, (dim//ord)*chi(g))
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end
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return result
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return result
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end
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function idempotents(RG::GroupRing{PermGroup}, T::Type=Rational{Int})
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if RG.group.n == 1
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return GroupRingElem{T}[one(RG,T)]
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elseif RG.group.n == 2
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Id = one(RG,T)
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transp = convert(T, RG(RG.group([2,1])))
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return GroupRingElem{T}[1//2*(Id + transp), 1//2*(Id - transp)]
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if RG.group.n == 1
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return GroupRingElem{T}[one(RG,T)]
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elseif RG.group.n == 2
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Id = one(RG,T)
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transp = convert(T, RG(RG.group([2,1])))
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return GroupRingElem{T}[1//2*(Id + transp), 1//2*(Id - transp)]
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end
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projs = Vector{Vector{perm}}()
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for l in 2:RG.group.n
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u = RG.group([circshift([i for i in 1:l], -1); [i for i in l+1:RG.group.n]])
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i = 0
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while (l-1)*i <= RG.group.n
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v = RG.group(circshift(collect(1:RG.group.n), i))
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k = inv(v)*u*v
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push!(projs, generateGroup([k], RG.group.n))
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i += 1
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end
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end
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end
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projs = Vector{Vector{perm}}()
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for l in 2:RG.group.n
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u = RG.group([circshift([i for i in 1:l], -1); [i for i in l+1:RG.group.n]])
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i = 0
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while (l-1)*i <= RG.group.n
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v = RG.group(circshift(collect(1:RG.group.n), i))
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k = inv(v)*u*v
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push!(projs, generateGroup([k], RG.group.n))
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i += 1
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end
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end
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idems = Vector{GroupRingElem{T}}()
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for p in projs
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append!(idems, [RG(p, T), RG(p, T, alt=true)])
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end
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idems = Vector{GroupRingElem{T}}()
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for p in projs
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append!(idems, [RG(p, T), RG(p, T, alt=true)])
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end
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return unique(idems)
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return unique(idems)
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end
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function rankOne_projection{S}(chi::PropertyT.PermCharacter, idems::Vector{GroupRingElem{S}})
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@ -163,7 +161,7 @@ function rankOne_projections(BN::WreathProduct, T::Type=Rational{Int})
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last_emb = g->BN(Nemo.emb!(BN.P(), g, range[i+1:end]))
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Sk_first = [RBN(p, first_emb) for p in SNprojs_nc[i]]
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Sk_last = [RBN(p, last_emb ) for p in SNprojs_nc[N-i]]
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Sk_last = [RBN(p, last_emb) for p in SNprojs_nc[N-i]]
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append!(all_projs,
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[Qs[i]*p1*p2 for (p1,p2) in Base.product(Sk_first,Sk_last)])
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@ -187,18 +185,18 @@ doc"""
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> forming 'products' by adding `op` (which is `*` by default).
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"""
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function products{T<:GroupElem}(X::AbstractVector{T}, Y::AbstractVector{T}, op=*)
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result = Vector{T}()
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seen = Set{T}()
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for x in X
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for y in Y
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z = op(x,y)
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if !in(z, seen)
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push!(seen, z)
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push!(result, z)
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end
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end
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end
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return result
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result = Vector{T}()
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seen = Set{T}()
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for x in X
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for y in Y
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z = op(x,y)
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if !in(z, seen)
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push!(seen, z)
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push!(result, z)
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end
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end
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end
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return result
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end
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doc"""
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