generic exterior algebra #4097
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generic exterior algebra #4097
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fingolfin
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Sep 16, 2024
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| if !haskey(fac.kernel_resolutions, i) | ||
| Z, _ = kernel(fac.c, i) | ||
| fac.kernel_resolutions[i] = free_resolution(SimpleFreeResolution, Z)[1] | ||
| end | ||
| return fac.kernel_resolutions[i] |
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This is the kind of code for which get! exists to avoid performing and hashing three times (for haskey, for storing, and then for looking it up again)
Suggested change
| if !haskey(fac.kernel_resolutions, i) | |
| Z, _ = kernel(fac.c, i) | |
| fac.kernel_resolutions[i] = free_resolution(SimpleFreeResolution, Z)[1] | |
| end | |
| return fac.kernel_resolutions[i] | |
| return get!(fac.kernel_resolutions, i) do | |
| Z, _ = kernel(fac.c, i) | |
| return free_resolution(SimpleFreeResolution, Z)[1] | |
| end |
Same applies to boundary_resolution and induced_map
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This PR adds a generic implementation for exterior algebras over arbitrary commutative
base_rings. The application is computation of relative BGG. To this end, we also introduce the Cartan-Eilenberg resolution of a complex of modules.