Opened 11 years ago
Last modified 9 years ago
#11122 closed enhancement
Implementation of the Demazure product in Coxeter groups — at Version 2
Reported by: | stumpc5 | Owned by: | |
---|---|---|---|
Priority: | major | Milestone: | sage-duplicate/invalid/wontfix |
Component: | combinatorics | Keywords: | Demazure product, subword complex |
Cc: | Merged in: | ||
Authors: | Christian Stump | Reviewers: | |
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | 11187 | Stopgaps: |
Description (last modified by )
The provided patch implements the Demazure product of a word in the generators of a Coxeter group.
The definition can be found e.g. in "Knutson, Miller - Subword complexes for Coxeter groups".
sage: W = CoxeterGroup(['A',2],index_set=[1,2]) sage: w = W.demazure_product([2,2,1]) sage: w.reduced_word() word: 21 sage: w = W.demazure_product([2,1,2,1,2]) sage: w.reduced_word() word: 121 sage: W = CoxeterGroup(['B',2],index_set=[1,2]) sage: w = W.demazure_product([2,1,2,1,2]) sage: w.reduced_word() word: 2121
As I also needed it, the patch provides in addition a method returning the cartan type of a Coxeter group.
Depends on Ticket #8359.
Change History (3)
comment:1 Changed 11 years ago by
- Component changed from PLEASE CHANGE to combinatorics
- Description modified (diff)
- Status changed from new to needs_work
Changed 11 years ago by
comment:2 Changed 11 years ago by
- Dependencies set to 11187
- Description modified (diff)
- Milestone set to sage-4.7.1
- Owner changed from tbd to (none)
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