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Separate GroupAlgebras logic from multiplication

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kalmar 2017-01-13 17:59:01 +01:00
parent e6f3051d83
commit 0cf908ee13
1 changed files with 15 additions and 14 deletions
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31
GroupAlgebras.jl
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@ -59,25 +59,26 @@ end
(-)(X::GroupAlgebraElement) = GroupAlgebraElement(-X.coefficients, X.product_matrix) (-)(X::GroupAlgebraElement) = GroupAlgebraElement(-X.coefficients, X.product_matrix)
(-)(X::GroupAlgebraElement, Y::GroupAlgebraElement) = add(X,-Y) (-)(X::GroupAlgebraElement, Y::GroupAlgebraElement) = add(X,-Y)
function algebra_multiplication{T<:Number}(X::Vector{T}, Y::Vector{T}, pm::Array{Int,2})
result = zeros(X)
for (i,x) in enumerate(X)
if x != 0
for (j, index) in enumerate(pm[i,:])
if Y[j] != 0
index == 0 && throw(ArgumentError("The product don't seem to belong to the span of basis!"))
result[index] += x*Y[j]
end
end
end
end
return result
end
function group_star_multiplication{T<:Number}(X::GroupAlgebraElement{T}, function group_star_multiplication{T<:Number}(X::GroupAlgebraElement{T},
Y::GroupAlgebraElement{T}) Y::GroupAlgebraElement{T})
X.product_matrix == Y.product_matrix || ArgumentError( X.product_matrix == Y.product_matrix || ArgumentError(
"Elements don't seem to belong to the same Group Algebra!") "Elements don't seem to belong to the same Group Algebra!")
result = zeros(X.coefficients) result = algebra_multiplication(X.coefficients, Y.coefficients, X.product_matrix)
for (i,x) in enumerate(X.coefficients)
if x != 0
for (j,y) in enumerate(Y.coefficients)
if y != 0
index = X.product_matrix[i,j]
if index == 0
throw(ArgumentError("The product don't seem to belong to the span of basis!"))
else
result[index]+= x*y
end
end
end
end
end
return GroupAlgebraElement(result, X.product_matrix) return GroupAlgebraElement(result, X.product_matrix)
end end