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add docstring for fusiontensor #48

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Merged
Jutho merged 4 commits into from
Dec 8, 2025
Merged

add docstring for fusiontensor #48

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9c199d5
add docstring for `fusiontensor`
borisdevos Nov 27, 2025
8ae4593
move docstring and make generic
borisdevos Dec 5, 2025
c82909e
code suggestions
borisdevos Dec 8, 2025
1ecef31
Restrict docstring to `Sector`
lkdvos Dec 8, 2025
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8 changes: 8 additions & 0 deletions src/irreps/irreps.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -59,6 +59,14 @@ Asymbol(a::I, b::I, c::I) where {I <: AbelianIrrep} = Int(Nsymbol(a, b, c))
Bsymbol(a::I, b::I, c::I) where {I <: AbelianIrrep} = Int(Nsymbol(a, b, c))
Rsymbol(a::I, b::I, c::I) where {I <: AbelianIrrep} = Int(Nsymbol(a, b, c))

"""
fusiontensor(a::I, b::I, c::I) where {I <: AbstractIrrep} -> Array{T, 4}

Return the fusion tensor for the fusion `a ⊗ b -> c`, where `a`, `b`, and `c` are irreps of
a group. The dimensions of the returned array are `(dim(a), dim(b), dim(c), Nsymbol(a, b, c))`.
The components of the fusion tensor are simply the Clebsch-Gordan coefficients of the group,
describing the unitary basis change from the tensor product of irreps `a` and `b` to the coupled irrep `c`.
"""
function fusiontensor(a::I, b::I, c::I) where {I <: AbelianIrrep}
return fill(Int(Nsymbol(a, b, c)), (1, 1, 1, 1))
end
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