1
0
mirror of https://github.com/kalmarek/PropertyT.jl.git synced 2024-12-26 02:30:29 +01:00

fix hacks around DirectProdCharacter

It should work over different groups as well
This commit is contained in:
kalmarek 2018-04-08 22:48:16 +02:00
parent 589e1882cd
commit 5bed58de2c

View File

@ -15,8 +15,16 @@ struct PermCharacter <: AbstractCharacter
p::Generic.Partition
end
struct DirectProdCharacter <: AbstractCharacter
i::Int
struct DirectProdCharacter{N, T<:AbstractCharacter} <: AbstractCharacter
chars::NTuple{N, T}
end
function (chi::DirectProdCharacter)(g::DirectProductGroupElem)
res = 1
for (χ, elt) in zip(chi.chars, g.elts)
res *= χ(elt)
end
return res
end
function (chi::PermCharacter)(g::Generic.perm)
@ -25,18 +33,11 @@ function (chi::PermCharacter)(g::Generic.perm)
return Int(Nemo.Generic.MN1inner(R, p, 1, Nemo.Generic._charvalsTable))
end
Nemo.isone(p::GroupElem) = p == parent(p)()
function Nemo.dim(χ::PropertyT.PermCharacter)
G = PermutationGroup(sum(χ.p))
return χ(G())
end
## NOTE: this works only for Z/2!!!!
function (chi::DirectProdCharacter)(g::DirectProductGroupElem)
return reduce(*, 1, ((-1)^isone(g.elts[j]) for j in 1:chi.i))
end
for T in [PermCharacter, DirectProdCharacter]
@eval begin
function (chi::$T)(X::GroupRingElem)