kalmar/PropertyT.jl
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use ^ for group action everywhere

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kalmarek 2020-10-17 02:13:59 +02:00
parent 984161c91a
commit 0d48ff698c
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2 changed files with 17 additions and 17 deletions
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2
src/sqadjop.jl
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@ -80,7 +80,7 @@ function SqAdjOp(RG::GroupRing, N::Integer)
Alt_N = [σ for σ in SymmetricGroup(N) if parity(σ) == 0]
sq, adj, op = RG(), RG(), RG()
Δ₂s = Dict(σ=>σ(Δ₂) for σ in Alt_N)
Δ₂s = Dict(σ=>Δ₂^σ for σ in Alt_N)
for σ in Alt_N
GroupRings.addeq!(sq, *(Δ₂s[σ], Δ₂s[σ], false))

32
test/actions.jl
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@ -31,14 +31,14 @@
y = 2RG(elt2) - RG(elt)
for G in [SymmetricGroup(N), WreathProduct(SymmetricGroup(2), SymmetricGroup(N))]
@test all(g(one(M)) == one(M) for g in G)
@test all(rdict[g(m)] <= sizes[1] for g in G for m in S)
@test all(g(m)*g(n) == g(m*n) for g in G for m in S for n in S)
@test all(one(M)^g == one(M) for g in G)
@test all(rdict[m^g] <= sizes[1] for g in G for m in S)
@test all(m^g*n^g == (m*n)^g for g in G for m in S for n in S)
@test all(g(Δ) == Δ for g in G)
@test all(g(x) == RG(1) - RG(g(elt)) for g in G)
@test all(Δ^g == Δ for g in G)
@test all(x^g == RG(1) - RG(elt^g) for g in G)
@test all(2RG(g(elt2)) - RG(g(elt)) == g(y) for g in G)
@test all(2RG(elt2^g) - RG(elt^g) == y^g for g in G)
end
end
@ -47,9 +47,9 @@
Sij = ssgs(M, i,j)
Δij= PropertyT.spLaplacian(RG, Sij)
@test all(p(Δij) == PropertyT.spLaplacian(RG, ssgs(M, p[i], p[j])) for p in SymmetricGroup(N))
@test all(Δij^p == PropertyT.spLaplacian(RG, ssgs(M, p[i], p[j])) for p in SymmetricGroup(N))
@test all(g(Δij) == PropertyT.spLaplacian(RG, ssgs(M, g.p[i], g.p[j])) for g in WreathProduct(SymmetricGroup(2), SymmetricGroup(N)))
@test all(Δij^g == PropertyT.spLaplacian(RG, ssgs(M, g.p[i], g.p[j])) for g in WreathProduct(SymmetricGroup(2), SymmetricGroup(N)))
end
end
end
@ -77,14 +77,14 @@ end
y = 2RG(elt2) - RG(elt)
for G in [SymmetricGroup(N), WreathProduct(SymmetricGroup(2), SymmetricGroup(N))]
@test all(g(one(M)) == one(M) for g in G)
@test all(rdict[g(m)] <= sizes[1] for g in G for m in S)
@test all(g(m)*g(n) == g(m*n) for g in G for m in S for n in S)
@test all(one(M)^g == one(M) for g in G)
@test all(rdict[m^g] <= sizes[1] for g in G for m in S)
@test all(m^g*n^g == (m*n)^g for g in G for m in S for n in S)
@test all(g(Δ) == Δ for g in G)
@test all(g(x) == RG(1) - RG(g(elt)) for g in G)
@test all(Δ^g == Δ for g in G)
@test all(x^g == RG(1) - RG(elt^g) for g in G)
@test all(2RG(g(elt2)) - RG(g(elt)) == g(y) for g in G)
@test all(2RG(elt2^g) - RG(elt^g) == y^g for g in G)
end
end
@ -92,9 +92,9 @@ end
Sij = ssgs(M, i,j)
Δij= PropertyT.spLaplacian(RG, Sij)
@test all(p(Δij) == PropertyT.spLaplacian(RG, ssgs(M, p[i], p[j])) for p in SymmetricGroup(N))
@test all(Δij^p == PropertyT.spLaplacian(RG, ssgs(M, p[i], p[j])) for p in SymmetricGroup(N))
@test all(g(Δij) == PropertyT.spLaplacian(RG, ssgs(M, g.p[i], g.p[j])) for g in WreathProduct(SymmetricGroup(2), SymmetricGroup(N)))
@test all(Δij^g == PropertyT.spLaplacian(RG, ssgs(M, g.p[i], g.p[j])) for g in WreathProduct(SymmetricGroup(2), SymmetricGroup(N)))
end
end