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we act on MatAlgElem now; use MatAlgebra
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@ -213,7 +213,7 @@ function (g::perm)(y::GroupRingElem{T, <:SparseVector}) where T
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return result
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end
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function (p::perm)(A::MatElem)
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function (p::perm)(A::MatAlgElem)
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length(p.d) == size(A, 1) == size(A,2) || throw("Can't act via $p on matrix of size $(size(A))")
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result = similar(A)
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@inbounds for i in 1:size(A, 1)
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@ -226,7 +226,7 @@ end
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###############################################################################
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#
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# WreathProductElems action on Nemo.MatElem
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# WreathProductElems action on MatAlgElem
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#
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###############################################################################
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@ -242,7 +242,7 @@ function (g::WreathProductElem)(y::GroupRingElem)
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return result
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end
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function (g::WreathProductElem{N})(A::MatElem) where N
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function (g::WreathProductElem{N})(A::MatAlgElem) where N
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# @assert N == size(A,1) == size(A,2)
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flips = ntuple(i->(g.n[i].d[1]==1 && g.n[i].d[2]==2 ? 1 : -1), N)
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result = similar(A)
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@ -9,7 +9,7 @@ function generating_set(G::AutGroup{N}, n=N) where N
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return [gen_set; inv.(gen_set)]
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end
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function E(M::MatSpace, i::Integer, j::Integer, val=1)
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function E(M::MatAlgebra, i::Integer, j::Integer, val=1)
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@assert i ≠ j
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@assert 1 ≤ i ≤ nrows(M)
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@assert 1 ≤ j ≤ ncols(M)
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@ -18,8 +18,7 @@ function E(M::MatSpace, i::Integer, j::Integer, val=1)
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return m
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end
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function generating_set(M::MatSpace, n=nrows(M))
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@assert nrows(M) == ncols(M)
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function generating_set(M::MatAlgebra, n=M.n)
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elts = [E(M, i,j) for (i,j) in indexing(n)]
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return elem_type(M)[elts; inv.(elts)]
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@ -92,10 +91,13 @@ function Op(RG::GroupRing, N::Integer)
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return op÷factorial(N-2)^2
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end
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AbstractAlgebra.nrows(M::MatAlgebra) = M.n
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AbstractAlgebra.ncols(M::MatAlgebra) = M.n
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for Elt in [:Sq, :Adj, :Op]
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@eval begin
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$Elt(RG::GroupRing{AutGroup{N}}) where N = $Elt(RG, N)
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$Elt(RG::GroupRing{<:MatSpace}) = $Elt(RG, nrows(RG.group))
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$Elt(RG::GroupRing{<:MatAlgebra}) = $Elt(RG, nrows(RG.group))
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end
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end
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