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sagemathgh-36790: Combinat/sga murphy basis
<!-- ^^^^^ Please provide a concise, informative and self-explanatory title. Don't put issue numbers in there, do this in the PR body below. For example, instead of "Fixes sagemath#1234" use "Introduce new method to calculate 1+1" --> <!-- Describe your changes here in detail --> We implement the Murphy basis of the symmetric group algebra (as defined by Dipper-James-Mathas) and make this the default cellular basis over positive characteristic since it is (significantly) faster to compute the change of basis necessary. <!-- Why is this change required? What problem does it solve? --> <!-- If this PR resolves an open issue, please link to it here. For example "Fixes sagemath#12345". --> <!-- If your change requires a documentation PR, please link it appropriately. --> ### 📝 Checklist <!-- Put an `x` in all the boxes that apply. --> <!-- If your change requires a documentation PR, please link it appropriately --> <!-- If you're unsure about any of these, don't hesitate to ask. We're here to help! --> <!-- Feel free to remove irrelevant items. --> - [x] The title is concise, informative, and self-explanatory. - [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 - sagemath#12345: short description why this is a dependency - sagemath#34567: ... --> - sagemath#36718 Uses the KL basis implementation <!-- If you're unsure about any of these, don't hesitate to ask. We're here to help! --> URL: sagemath#36790 Reported by: Travis Scrimshaw Reviewer(s): Frédéric Chapoton
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