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Streamline powers of Lie algebra modules #3081

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merged 18 commits into from
Jan 17, 2024
Merged

Streamline powers of Lie algebra modules #3081

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45c2036
Make `exterior_power(::ModuleFP)` slightly more type stable
lgoettgens Dec 18, 2023
e683bb6
Make exterior powers of Lie modules compatible with ModuleeFP
lgoettgens Dec 19, 2023
3d01875
Remove splatting in `my_mult`
lgoettgens Dec 18, 2023
f721e54
More type stability for exterior powers
lgoettgens Dec 19, 2023
a044259
Rework `induced_map_on_exterior_power`
lgoettgens Dec 18, 2023
ef46cc1
Change `symmetric_power` analogous to the `exterior_power` change
lgoettgens Dec 19, 2023
ddf0eb5
Change `tensor_power` analogous to the `exterior_power` change
lgoettgens Dec 19, 2023
59ded76
Cleanup `hom_power`
lgoettgens Dec 19, 2023
5384a67
Minor changes to `standard_module` and `dual`
lgoettgens Dec 19, 2023
60e4069
Make `is_direct_sum` and `is_tensor_product` consistent and some cleanup
lgoettgens Dec 20, 2023
f8c92ad
Streamline some caching
lgoettgens Dec 20, 2023
4375462
Diversify module conformance tests
lgoettgens Dec 21, 2023
5bd052f
Streamline parent object calling
lgoettgens Dec 21, 2023
a47ce6b
Fix tests
lgoettgens Jan 4, 2024
f5d0b6f
Merge branch 'master' into lg/lie-powers
lgoettgens Jan 12, 2024
68545ce
Fix Aqua test
lgoettgens Jan 12, 2024
eb66cc8
Apply suggestions from code review
lgoettgens Jan 12, 2024
8afcbeb
Fix tests
lgoettgens Jan 16, 2024
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2 changes: 1 addition & 1 deletion experimental/DoubleAndHyperComplexes/src/Morphisms/linear_strands.jl
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Expand Up @@ -123,7 +123,7 @@ function (fac::LinearStrandComplementChainFactory)(self::AbsHyperComplex, i::Tup
offset = zero(G) + sum(i)*G[1] + degree(str)*G[1]
min_ind = [k for k in 1:rank(F_full) if degree(F_full[k]) == offset]
comp = [k for k in 1:rank(F_full) if !(k in min_ind)]
F = graded_free_module(S, [degree(F_full[k]) for k in comp])
F = graded_free_module(S, elem_type(G)[degree(F_full[k]) for k in comp])
map = hom(F_full, F, elem_type(F)[(k in comp ? F[findfirst(i->i==k, comp)] : zero(F)) for k in 1:rank(F_full)])
fac.maps_from_original[i] = map
return F
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2 changes: 1 addition & 1 deletion experimental/DoubleAndHyperComplexes/src/Morphisms/simplified_complexes.jl
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Expand Up @@ -356,7 +356,7 @@ end

### Helper functions
function _make_free_module(M::ModuleFP, g::Vector{T}) where {T<:ModuleFPElem}
if isgraded(M)
if is_graded(M)
w = degree.(g)
return graded_free_module(base_ring(M), w)
else
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2 changes: 1 addition & 1 deletion experimental/LieAlgebras/docs/src/module_homs.md
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Expand Up @@ -60,5 +60,5 @@ canonical_projections(::LieAlgebraModule)
canonical_projection(::LieAlgebraModule, ::Int)
hom_direct_sum(::LieAlgebraModule{C}, ::LieAlgebraModule{C}, ::Matrix{<:LieAlgebraModuleHom}) where {C<:FieldElem}
hom_tensor(::LieAlgebraModule{C}, ::LieAlgebraModule{C}, ::Vector{<:LieAlgebraModuleHom}) where {C<:FieldElem}
hom_power(::LieAlgebraModule{C}, ::LieAlgebraModule{C}, ::LieAlgebraModuleHom) where {C<:FieldElem}
hom(::LieAlgebraModule{C}, ::LieAlgebraModule{C}, ::LieAlgebraModuleHom) where {C<:FieldElem}
```
2 changes: 0 additions & 2 deletions experimental/LieAlgebras/docs/src/modules.md
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Expand Up @@ -74,6 +74,4 @@ is_tensor_product(::LieAlgebraModule)
is_exterior_power(::LieAlgebraModule)
is_symmetric_power(::LieAlgebraModule)
is_tensor_power(::LieAlgebraModule)
base_module(::LieAlgebraModule{C}) where {C<:FieldElem}
base_modules(::LieAlgebraModule{C}) where {C<:FieldElem}
```
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