Rewriting Lie subalgebras and ideals to always do computations in the ambient Lie algebra #40137
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@fchapoton Can you review this? It is a bit subtle of an issue, but it fixes a pretty bad bug with incorrect quotients. |
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there seems to be broken doctests |
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Indeed, those are real failures. I will fix them tomorrow. |
…bras and quotient algebras.
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Okay, I have fixed the problem. It took a bit of work to make sure all of the indices are handled correctly. As a by-product, the Lie subalgebras and ideals have their basis naturally indexed by the leading monomial of the ambient. This is a backwards incompatible change in a sense, but it was essentially necessary to fix the bug. (I could revert that portion, but it will take a bit more care.) |
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Currently, ideals$A$ of a Lie subalgebra $B$ of an ambient Lie algebra $L$ do a number of computations in $B$ . However, they are more attuned to working in $L$ . This causes problems for constructing quotients $B / A$ as there can be mismatches in the indices. We fix these problems by making sure that $A$ always does computations in $L$ whether it is constructed as an ideal of $B$ or of $L$ .
📝 Checklist
⌛ Dependencies