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Implement the center of a universal enveloping algebra in the PBW basis #37013

Merged
merged 8 commits into from
Mar 25, 2024
Merged

Implement the center of a universal enveloping algebra in the PBW basis #37013

merged 8 commits into from
Mar 25, 2024

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tscrim
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@tscrim tscrim commented Jan 5, 2024 •
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We provide an implementation of the center of the universal enveloping algebra in the PBW basis of a finite dimensional Lie algebra with basis.

We provide a few other fixes along the way:

  • Add an option to return all Casimir elements, not just the first obtained (in particular, see type $D_{2n}$).
  • Add some latex output options for some Lie algebras.
  • Improving compatibility with the plural g-algebras.

📝 Checklist

  • The title is concise, informative, and self-explanatory.
  • The description explains in detail what this PR is about.
  • I have linked a relevant issue or discussion.
  • I have created tests covering the changes.
  • I have updated the documentation accordingly.

⌛ Dependencies

@tscrim tscrim force-pushed the lie_algebras/enveloping_center branch from 9d8efa0 to c76198b Compare February 21, 2024 12:40
@tscrim tscrim force-pushed the lie_algebras/enveloping_center branch from c76198b to 90b5502 Compare March 18, 2024 17:10
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Documentation preview for this PR (built with commit 025b921; changes) is ready! 🎉

fchapoton
fchapoton approved these changes Mar 19, 2024
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ok, let's go

@vbraun vbraun merged commit 1ce7939 into sagemath:develop Mar 25, 2024
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@mkoeppe mkoeppe added this to the sage-10.4 milestone Mar 25, 2024
@tscrim tscrim deleted the lie_algebras/enveloping_center branch March 28, 2024 11:11
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@fchapoton fchapoton fchapoton approved these changes

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c: algebra p: major / 3 t: enhancement
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