#15806: Integrable representations of (affine) Kac-Moody Lie Algebras
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Reporter: bump | Owner: bump
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: Kac-Moody | Merged in:
Authors: bump | Reviewers:
Report Upstream: N/A | Work issues: Due to a recursive
Branch: | caching scheme, it can crash for
public/combinat/integrable-15806 | hard computations. Obviously this
Dependencies: | should be fixed. Not all docstrings
| have doctests.
| Commit:
| 966ca5c317f3ea9b929d10be3f1f10a2ba2798bb
| Stopgaps:
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Comment (by tscrim):
So I managed to get another 30% out of it by making sure the tuples all
contain integers (it surprised me how much those little casts from `QQ` to
`ZZ` added up) and a more cleaver implementation of `to_dominant` and
removed the recurrence calls. Both parts resulted in equal gain.
I got a little bit more by taking advantage of the fact that roots are
sometimes dense and directly storing and calling the inverse Cartan
matrix. I also made the `inner_*q` methods private since they make some
relatively strong assumptions.
I'm done for now. Could you test it to make sure everything still works
and perhaps also see if you can get further than before?
--
Ticket URL: <http://trac.sagemath.org/ticket/15806#comment:22>
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