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gh-40263: Add an infinite weyl algebra class <!-- ^ 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 #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 #12345". --> This PR adds a class ``InfiniteDifferentialWeylAlgebra``, the infinite analog of the currently existing ``DifferentialWeylAlgebra`` class. It is an algebra generated by two countable families of symbols x_i, dx_i subject to the relations [x_i, x_j] = [dx_i, dx_j] = 0 and [x_i, dx_j] = \delta_{i, j} Part of #40241 cc: @tscrim ### 📝 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 and checked the documentation preview. ### ⌛ Dependencies <!-- List all open PRs that this PR logically depends on. For example, --> <!-- - #12345: short description why this is a dependency --> <!-- - #34567: ... --> URL: #40263 Reported by: Joe McDonough Reviewer(s): Joe McDonough, Travis Scrimshaw
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