#14261: Iwahori-Hecke algebra with several bases
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Reporter: brant | Owner:
sage-combinat
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-5.10
Component: combinatorics | Resolution:
Keywords: Iwahori Hecke algebra | Work issues: T <-> C
basis map
Report Upstream: N/A | Reviewers: Andrew
Mathas?, Dan Bump?
Authors: Brant Jones, Travis Scrimshaw | Merged in:
Dependencies: | Stopgaps:
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Changes (by tscrim):
* status: needs_review => needs_work
* work_issues: => T <-> C basis map
Comment:
New version which implements both the `C` and `C'` bases, removed the
`_basis` suffix, and implements the Hecke involution Andrew described
above as `hecke_involution()` to elements in the `T` basis. I choose the
call the `C'` basis the Kazhdan-Lusztig since this is the bar invariant
basis. However going between the `C` and `T` currently has a problem which
I'm trying to work out; in particular, I believe the `T -> C` is wrong but
the `C -> T` is correct.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14261#comment:7>
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