Opened 5 years ago
Last modified 5 years ago
#20420 new enhancement
Implement dual braid monoids/groups and Hecke algebras for complex reflection groups
Reported by: | tscrim | Owned by: | sage-combinat |
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Priority: | major | Milestone: | sage-7.2 |
Component: | combinatorics | Keywords: | |
Cc: | sage-combinat, stumpc5, vripoll | Merged in: | |
Authors: | Reviewers: | ||
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
Using the non-crossing partition lattice, we can implement a Garside structure for dual braid monoids and groups for (well-generated) Complex reflection groups. Moreover, we can use this to implement the Hecke algebras.
Change History (2)
comment:1 Changed 5 years ago by
comment:2 Changed 5 years ago by
- Cc vripoll added
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Here is a first trivial way of getting a (non-reduced) presentation for the dual braid monoid:
For whatever reason, here is the documentation of Hecke algebras in Chevie: https://webusers.imj-prg.fr/~jean.michel/gap3/htm/chap082.htm