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function goes first in GroupRing constructor
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@ -177,23 +177,24 @@ function rankOne_projections(RBn::GroupRing{G}, T::Type=Rational{Int}) where {G<
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# Bn.N = (Z/2Z)ⁿ characters corresponding to the first k coordinates:
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BnN_orbits = Dict(i => orbit_selector(N, i, sign, id) for i in 0:N)
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Q = Dict(i => RBn(central_projection(RN, BnN_orbits[i], T), g -> Bn(g)) for i in 0:N)
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Q = Dict(i => RBn(g -> Bn(g), central_projection(RN, BnN_orbits[i], T)) for i in 0:N)
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Q = Dict(key => full(val) for (key, val) in Q)
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all_projs = [Q[0]*RBn(p, g->Bn(g)) for p in Sn_rankOnePr[N]]
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all_projs = [Q[0]*RBn(g->Bn(g), p) for p in Sn_rankOnePr[N]]
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r = collect(1:N)
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for i in 1:N-1
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first_emb = g->Bn(Generic.emb!(Bn.P(), g, view(r, 1:i)))
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last_emb = g->Bn(Generic.emb!(Bn.P(), g, view(r, (i+1):N)))
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Sk_first = (RBn(p, first_emb) for p in Sn_rankOnePr[i])
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Sk_last = (RBn(p, last_emb) for p in Sn_rankOnePr[N-i])
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Sk_first = (RBn(first_emb, p) for p in Sn_rankOnePr[i])
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Sk_last = (RBn(last_emb, p) for p in Sn_rankOnePr[N-i])
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append!(all_projs,
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[Q[i]*p1*p2 for (p1,p2) in Base.product(Sk_first,Sk_last)])
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end
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append!(all_projs, [Q[N]*RBn(p, g->Bn(g)) for p in Sn_rankOnePr[N]])
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append!(all_projs, [Q[N]*RBn(g->Bn(g), p) for p in Sn_rankOnePr[N]])
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return all_projs
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end
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