kalmar/GroupRings.jl
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multiplication in the GroupRing

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kalmar 2017-05-16 18:38:37 +02:00
parent 7204492e53
commit ba51f2ba0e
1 changed files with 10 additions and 12 deletions
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22
src/GroupAlgebras.jl
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@ -144,23 +144,21 @@ function algebra_multiplication{T<:Number}(X::AbstractVector{T}, Y::AbstractVect
return result return result
end end
function group_star_multiplication{T<:Number}(X::GroupAlgebraElement{T}, function group_star_multiplication{T<:Number}(X::GroupRingElem{T},
Y::GroupAlgebraElement{T}) Y::GroupRingElem{T})
X.product_matrix == Y.product_matrix || ArgumentError( parent(X) == parent(Y) || throw(ArgumentError(
"Elements don't seem to belong to the same Group Algebra!") "Elements don't seem to belong to the same Group Algebra!"))
result = algebra_multiplication(X.coefficients, Y.coefficients, X.product_matrix) result = algebra_multiplication(X.coeffs, Y.coeffs, X.pm)
return GroupAlgebraElement(result, X.product_matrix) return GroupRingElem(result, parent(X))
end end
function group_star_multiplication{T<:Number, S<:Number}( function group_star_multiplication{T<:Number, S<:Number}(
X::GroupAlgebraElement{T}, X::GroupRingElem{T}, Y::GroupRingElem{S})
Y::GroupAlgebraElement{S}) warn("Multiplying elements with different base rings!")
S == T || warn("Multiplying elements with different base rings!") return group_star_multiplication(promote(X,Y)...)
return group_star_multiplication(promote(X,Y)...)
end end
(*){T<:Number, S<:Number}(X::GroupAlgebraElement{T}, (*)(X::GroupRingElem, Y::GroupRingElem) = group_star_multiplication(X,Y)
Y::GroupAlgebraElement{S}) = group_star_multiplication(X,Y);
(*){T<:Number}(a::T, X::GroupAlgebraElement{T}) = GroupAlgebraElement( (*){T<:Number}(a::T, X::GroupAlgebraElement{T}) = GroupAlgebraElement(
a*X.coefficients, X.product_matrix) a*X.coefficients, X.product_matrix)