LieAlgebras: Collect and update rep theory stuff #4541
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lgoettgens
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that only happen if an Oscar root system is known, and the Chevalley basis is different from the basis
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lgoettgens
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Feb 5, 2025
| L = special_orthogonal_lie_algebra(cyclotomic_field(4)[1], 4) | ||
| V = simple_module(L, [1, 1, 0, 0]) | ||
| V = simple_module(L, [1, 1]) |
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Note to self: change this weight to something non-symmetric
Codecov ReportAll modified and coverable lines are covered by tests ✅
Additional details and impacted files@@ Coverage Diff @@
## master #4541 +/- ##
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+ Coverage 84.41% 84.44% +0.03%
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Files 672 673 +1
Lines 89155 89190 +35
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+ Hits 75256 75317 +61
+ Misses 13899 13873 -26
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fingolfin
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Feb 10, 2025
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Changes:
LieAlgebraModule.jlandRootSystem.jl)@req)basis(L). In this case we construct the GAP Lie algebra withbasis(L)as gens. However, this does not imply (in GAP) that this list is stored neither inCanonicalBasisnor inBasis, on which we relied when translating the chevalley basis. Instead, we now use a relative basis based onGeneratorsOfAlgebraon the GAP side to get the basis we constructed the Lie algebra with for element translation, and use element translation to translate the Chevalley basis.