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Experimental: Complex reflection groups #3342
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Experimental: Complex reflection groups #3342
Commits on Jul 12, 2024
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Add unitary_matrices. Fix in old code because it seems number field n…
…ames have been changed
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* Implementation of type ComplexReflection * Function is_complex_reflection_with_data
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* Fixed the LT models for the exceptionals by transosing the generators
* Some cleaup in the model code
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* Using complex_conjugation2 now to also get the (trivial) complex co…
…njugation for totally real fields. * Implemented LT model of H3 = G23 * Added function complex_reflections that lists all the reflections
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The Cartan matrix is not correct yet and I think this comes from the
fact that the coroot business is not correct yet. In order to get the correct definition, I will now start with the documentation and then fix the code afterwards
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Continued with the documentation. One minor fix in complex_reflection…
…_group: there was no return value for a product of types
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* Extended the ComplexReflection structure * Fixed the coroot stuff * Moved aux functions to separate files * Documentation
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Updates to current OSCAR and removed my complex_conjugation2 since th…
…is was implemented in Hecke v0.30.2
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Added import of coroot from Oscar.LieAlgebras as suggested by J. Schm…
…itt to fix failing test
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Commented out is_shephard_group and field_of_definition for the momen…
…t because these functions are not finished yet
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Also commented out the export of is_exceptional for the moment becaus…
…e not yet implemented
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Construction of complex conjugate of matrix in is_unitary now via map…
… function as suggested
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* Small fix (forgot the base field) in is_unitary
* Moved all imports/exports to the main project file and sorted alphabetically as suggested
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Raising a not implemented error in is_symplectic_reflection_group ins…
…tead of returning false
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Added a debug option in is_complex_reflection_with_data that prints t…
…he property that failts if input is not a complex reflection
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Commits on Jul 14, 2024
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Commits on Jul 15, 2024
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