48 lines
1.2 KiB
Julia
48 lines
1.2 KiB
Julia
@testset "Algebra and Elements Constructors" begin
|
|
G = SymmetricGroup(3)
|
|
b = New.Basis{UInt8}(collect(G))
|
|
l = length(b)
|
|
|
|
RG = New.StarAlgebra(G, b, (l, l))
|
|
|
|
a = rand(6)
|
|
|
|
@test New.AlgebraElement(a, RG) isa New.AlgebraElement
|
|
@test all(RG(g) isa New.AlgebraElement{typeof(RG)} for g in G)
|
|
|
|
@test_throws AssertionError New.AlgebraElement([1,2,3], RG)
|
|
@test New.AlgebraElement([1,2,3,0,0,0], RG) isa New.AlgebraElement
|
|
|
|
p = G([2,3,1])
|
|
a = RG(p)
|
|
@test New.coeffs(a) isa SparseVector
|
|
@test New.coeffs(a)[5] == 1
|
|
@test all(New.coeffs(a)[i] == 0 for i in 1:6 if i ≠ 5)
|
|
@test a(p) == 1
|
|
@test all(a(g) == 0 for g in G if g != p)
|
|
|
|
@test sprint(show, a) == "1·(1,2,3)"
|
|
@test sprint(show, -a) == "-1·(1,2,3)"
|
|
|
|
@test New.AlgebraElement([0,0,0,0,1,0], RG) == a
|
|
|
|
@test New.supp(a) == [p]
|
|
@test New.supp_ind(a) == [5]
|
|
|
|
s = one(G)
|
|
@test a(s) == 0
|
|
|
|
a[s] = 2
|
|
|
|
@test New.coeffs(a)[1] == 2
|
|
@test a[1] == 2
|
|
@test a(s) == 2
|
|
|
|
@test New.supp(a) == [s, p]
|
|
@test New.supp_ind(a) == [1, 5]
|
|
|
|
@test sprint(show, a) == "2·() +1·(1,2,3)"
|
|
@test sprint(show, -a) == "-2·() -1·(1,2,3)"
|
|
@test sprint(show, New.AlgebraElement([2,0,0,0,-1,0], RG)) == "2·() -1·(1,2,3)"
|
|
end
|