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GroupRings.jl
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multiplication in the GroupRing

This commit is contained in:
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
end
function group_star_multiplication{T<:Number}(X::GroupAlgebraElement{T},
Y::GroupAlgebraElement{T})
X.product_matrix == Y.product_matrix || ArgumentError(
"Elements don't seem to belong to the same Group Algebra!")
result = algebra_multiplication(X.coefficients, Y.coefficients, X.product_matrix)
return GroupAlgebraElement(result, X.product_matrix)
function group_star_multiplication{T<:Number}(X::GroupRingElem{T},
Y::GroupRingElem{T})
parent(X) == parent(Y) || throw(ArgumentError(
"Elements don't seem to belong to the same Group Algebra!"))
result = algebra_multiplication(X.coeffs, Y.coeffs, X.pm)
return GroupRingElem(result, parent(X))
end
function group_star_multiplication{T<:Number, S<:Number}(
X::GroupAlgebraElement{T},
Y::GroupAlgebraElement{S})
S == T || warn("Multiplying elements with different base rings!")
return group_star_multiplication(promote(X,Y)...)
X::GroupRingElem{T}, Y::GroupRingElem{S})
warn("Multiplying elements with different base rings!")
return group_star_multiplication(promote(X,Y)...)
end
(*){T<:Number, S<:Number}(X::GroupAlgebraElement{T},
Y::GroupAlgebraElement{S}) = group_star_multiplication(X,Y);
(*)(X::GroupRingElem, Y::GroupRingElem) = group_star_multiplication(X,Y)
(*){T<:Number}(a::T, X::GroupAlgebraElement{T}) = GroupAlgebraElement(
a*X.coefficients, X.product_matrix)