#20394: Work on reflection groups
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Reporter: stumpc5 | Owner:
Type: task | Status: new
Priority: major | Milestone: sage-7.2
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by stumpc5:
Old description:
> The work on reflection groups is in:
> * #11187: main ticket with the first implementation
> * #20395: (merged into #11187) preparation for the category framework to
> demand the method {{{degrees}}}.
> * #20396: (merged into #11187) Implementation of the invariant form for
> crg's.
> * #20477: Reduced words in crg's.
> * #20445: Iteration algorithm using coset decomposition
> * #20484: cythonizing has_descent, first_descent, descents. Code is
> available in #20445.
> * #20521: left/right actions for real and primal/dual for all reflection
> groups.
>
> Other improvements:
> * #20440: Field of definition
> * #20444: Fake degree polynomial
> * #20448: Generators of module of derivations
>
> Related tickets:
> * #20402: Get subword complexes to work with reflection groups
> * #20420: Dual braid monoid/group and Hecke algebras
> * #18631: Rational Cherednik algebras (for finite Weyl groups)
> * #20469: not yet created ticket for Ariki-Koike algebras
>
> Gap3, Chevie, and the raw data:
> * #20107: gap3 experimental package
> * #20393: gap3 optional package
> * #20401: Hard-coded stuff.
New description:
The work on reflection groups is in:
* #11187: main ticket with the first implementation
* #20395: (merged into #11187) preparation for the category framework to
demand the method {{{degrees}}}.
* #20396: (merged into #11187) Implementation of the invariant form for
crg's.
* #20477: Reduced words in crg's.
* #20445: Iteration algorithm using coset decomposition
* #20484: cythonizing has_descent, first_descent, descents. Code is
available in #20445.
* #20521: left/right actions for real and primal/dual for all reflection
groups.
Other improvements:
* #20440: Field of definition
* #20444: Fake degree polynomial
* #20448: Generators of module of derivations
Related tickets:
* #20402: Get subword complexes to work with reflection groups
* #20943: Updated the c flip implementation that was forgotten in #20402
* #20420: Dual braid monoid/group and Hecke algebras
* #18631: Rational Cherednik algebras (for finite Weyl groups)
* #20469: not yet created ticket for Ariki-Koike algebras
Gap3, Chevie, and the raw data:
* #20107: gap3 experimental package
* #20393: gap3 optional package
* #20401: Hard-coded stuff.
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Ticket URL: <https://trac.sagemath.org/ticket/20394#comment:18>
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