#14261: Iwahori-Hecke algebra with several bases
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Reporter: brant | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.13
Component: combinatorics | Resolution:
Keywords: Iwahori Hecke | Merged in:
algebra | Reviewers: Andrew Mathas, Brant
Authors: Brant Jones, | Jones, Travis Scrimshaw
Travis Scrimshaw, Andrew Mathas | Work issues:
Report Upstream: N/A | Commit:
Branch: | Stopgaps:
Dependencies: #13735 #14014 |
#14678 #14516 |
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Comment (by andrew.mathas):
Replying to [comment:67 brant]:
> I haven't worked much with the generic Hecke algebra but I am happy to
see this functionality added to the patch!
If you've worked with the KL-bases then you have worked with a generic
Hecke algebra:) These more exotic two variable generic rings you probably
haven't played with but they are just an sleight of hand so that the code
works with the KL-bases no matter what normalization of the quadratic
relations the user want to use: for example, `(T_r-q)(T_r+1)=0` over
`Z[q^{\pm1/2}]`, or `(T_r-v)(T_r^v^-1)=0` over `Z[v^{\pm1}]`.
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Ticket URL: <http://trac.sagemath.org/ticket/14261#comment:68>
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