Implement the normalizer of a finite dimensional Lie algebra #37682
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@fchapoton Fundamentally an easy extension by using some linear algebra. I also did some small improvements and fixed a small bug with how Lie subalgebras were created. |
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mkoeppe
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Apr 3, 2024
src/sage/categories/finite_dimensional_lie_algebras_with_basis.py
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…ebras; more doctests.
Co-authored-by: Matthias Köppe <mkoeppe@math.ucdavis.edu>
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fchapoton
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Apr 9, 2024
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| S = self.structure_coefficients() | ||
| sc = {} | ||
| for k in S.keys(): |
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do we need .keys() here ?
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It is a Family being returned:
sage: L = LieAlgebra(QQ, cartan_type=['A',2])
sage: type(L.structure_coefficients())
<class 'sage.sets.family.FiniteFamily'>
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Thank you. |
vbraun
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Jun 5, 2024
sagemathgh-37697: Implement the solvable and nil radicals of a finite dimensional Lie algebra <!-- ^ Please provide a concise and informative title. --> <!-- ^ Don't put issue numbers in the title, do this in the PR description below. --> <!-- ^ For example, instead of "Fixes sagemath#12345" use "Introduce new method to calculate 1 + 2". --> <!-- v Describe your changes below in detail. --> <!-- v Why is this change required? What problem does it solve? --> <!-- v If this PR resolves an open issue, please link to it here. For example, "Fixes sagemath#12345". --> We implement the algorithms in de Graaf to compute the solvable and nilradicals of a finite dimensional Lie algebra. To do so, we also make further improvements to how subalgebras and ideals of Lie algebras are constructed and handled. ### 📝 Checklist <!-- Put an `x` in all the boxes that apply. --> - [x] The title is concise and informative. - [x] The description explains in detail what this PR is about. - [x] I have linked a relevant issue or discussion. - [x] I have created tests covering the changes. - [x] I have updated the documentation accordingly. ### ⌛ Dependencies <!-- List all open PRs that this PR logically depends on. For example, --> <!-- - sagemath#12345: short description why this is a dependency --> <!-- - sagemath#34567: ... --> - sagemath#37693 Uses this in the computation - sagemath#37682 Needs the improvements here URL: sagemath#37697 Reported by: Travis Scrimshaw Reviewer(s): Matthias Köppe, Travis Scrimshaw
vbraun
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sagemathgh-37697: Implement the solvable and nil radicals of a finite dimensional Lie algebra <!-- ^ Please provide a concise and informative title. --> <!-- ^ Don't put issue numbers in the title, do this in the PR description below. --> <!-- ^ For example, instead of "Fixes sagemath#12345" use "Introduce new method to calculate 1 + 2". --> <!-- v Describe your changes below in detail. --> <!-- v Why is this change required? What problem does it solve? --> <!-- v If this PR resolves an open issue, please link to it here. For example, "Fixes sagemath#12345". --> We implement the algorithms in de Graaf to compute the solvable and nilradicals of a finite dimensional Lie algebra. To do so, we also make further improvements to how subalgebras and ideals of Lie algebras are constructed and handled. ### 📝 Checklist <!-- Put an `x` in all the boxes that apply. --> - [x] The title is concise and informative. - [x] The description explains in detail what this PR is about. - [x] I have linked a relevant issue or discussion. - [x] I have created tests covering the changes. - [x] I have updated the documentation accordingly. ### ⌛ Dependencies <!-- List all open PRs that this PR logically depends on. For example, --> <!-- - sagemath#12345: short description why this is a dependency --> <!-- - sagemath#34567: ... --> - sagemath#37693 Uses this in the computation - sagemath#37682 Needs the improvements here URL: sagemath#37697 Reported by: Travis Scrimshaw Reviewer(s): Matthias Köppe, Travis Scrimshaw
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We implement the normalizer of a finite dimensional Lie algebra.
📝 Checklist
⌛ Dependencies