#15806: Integrable representations of (affine) Kac-Moody Lie Algebras
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Reporter: bump | Owner: bump
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.7
Component: combinatorics | Resolution:
Keywords: Kac-Moody, | Merged in:
Integrable Representation, Affine | Reviewers: Travis Scrimshaw
Lie Algebra | Work issues:
Authors: Dan Bump | Commit:
Report Upstream: N/A | b1830c3616ea2985892200e1be2c5a0c1016446d
Branch: | Stopgaps:
public/combinat/integrable-15806 |
Dependencies: |
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Comment (by bump):
>However, what notation do you want for the representation, as I believe
are using V\Lambda and B(\Lambda)?
Not sure I understand the question.
The following takes a long time but is sort of cool:
{{{
sage: Lambda =
RootSystem("E8~").weight_lattice(extended=true).fundamental_weights()
sage: gdim = [x.degree() for x in
IntegrableRepresentation(Lambda[0]).branch(depth=4)]
sage: gdim
[1, 248, 4124, 34752, 213126]
sage: oeis(gdim)
0: A007245: McKay-Thompson series of class 3C for the Monster group.
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/15806#comment:57>
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