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use star() instead of inv() when creating pm_matrix
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@ -501,13 +501,16 @@ function star(X::GroupRingElem{T}) where T
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result = RG(T)
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result = RG(T)
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for (i,c) in enumerate(X.coeffs)
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for (i,c) in enumerate(X.coeffs)
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if c != zero(T)
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if c != zero(T)
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g = inv(RG.basis[i])
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g = star(RG.basis[i])
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result[g] = c
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result[g] = c
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end
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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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return result
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end
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end
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star(g::GroupElem) = inv(g)
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star(r::NCRingElem) = inv(r)
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###############################################################################
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###############################################################################
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#
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#
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# Misc
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# Misc
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@ -535,7 +538,7 @@ function create_pm(basis::AbstractVector{T}, basis_dict::Dict{T, Int},
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Threads.@threads for i in 1:limit
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Threads.@threads for i in 1:limit
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x = basis[i]
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x = basis[i]
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if twisted
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if twisted
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x = inv(x)
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x = star(x)
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end
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end
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for j in 1:limit
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for j in 1:limit
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product_matrix[i,j] = get(basis_dict, x*basis[j], 0)
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product_matrix[i,j] = get(basis_dict, x*basis[j], 0)
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@ -554,7 +557,7 @@ function check_pm(product_matrix, basis, twisted=false)
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if idx != nothing
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if idx != nothing
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@warn("Product is not supported on basis")
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@warn("Product is not supported on basis")
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i,j = Tuple(idx)
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i,j = Tuple(idx)
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x = (twisted ? inv(basis[i]) : basis[i])
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x = (twisted ? star(basis[i]) : basis[i])
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throw(KeyError(x*basis[j]))
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throw(KeyError(x*basis[j]))
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end
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end
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return true
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return true
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@ -568,9 +571,9 @@ function complete!(RG::GroupRing, twisted::Bool=false)
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end
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end
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warning = false
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warning = false
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for idx in findall(RG.pm .== 0)
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for idx in findall(iszero, RG.pm)
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i,j = Tuple(idx)
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i,j = Tuple(idx)
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g = (twisted ? inv(RG.basis[i]) : RG.basis[i])*RG.basis[j]
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g = (twisted ? star(RG.basis[i]) : RG.basis[i])*RG.basis[j]
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if haskey(RG.basis_dict, g)
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if haskey(RG.basis_dict, g)
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RG.pm[i,j] = RG.basis_dict[g]
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RG.pm[i,j] = RG.basis_dict[g]
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else
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else
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