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add hand-crafted projections for PermutationGroup(5)

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kalmar 2017-07-12 20:23:27 +02:00
parent 5906715902
commit af74ae6fb0
1 changed files with 16 additions and 0 deletions
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src/Projections.jl
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@ -128,6 +128,22 @@ function rankOne_projections(G::PermutationGroup, T::Type=Rational{Int})
1//2*(one(RG, T) + RG(G([2,1,3,4]), T))*projections[5]
]
return rankone_projs
elseif G.n == 5
p⁺ = 1//2*(one(RG, T) + RG(G([2,1,3,4,5]), T))
p⁻ = 1//2*(one(RG, T) - RG(G([2,1,3,4,5]), T))
q⁺ = 1//2*(one(RG, T) + RG(G([1,2,4,3,5]), T))
q⁻ = 1//2*(one(RG, T) - RG(G([1,2,4,3,5]), T))
rankone_projs = [
projections[1],
projections[2],
p⁻*projections[3],
p⁺*projections[4],
p⁺*q⁺*projections[5],
p⁻*q⁻*projections[6],
p⁺*q⁺*projections[7]
]
else
throw("Rank-one projections for $G unknown!")
end