#9285: Challenge: iterating through E8 in 5 minutes
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Reporter: nthiery | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-wishlist
Component: combinatorics | Resolution:
Keywords: Coxeter groups, Chevie | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by bransingh):
Instead of taking the nomenclature ["E",8], if we take Cartan matrix of
E8 manually
cm= CartanMatrix([
[2,-1,0,0,0,0,0,0],
[-1,2,-1,0,0,0,0,0],
[0,-1,2,-1,0,0,0,0],
[0,0,-1,2,-1,0,0,0],
[0,0,0,-1,2,-1,0,-1],
[0,0,0,0,-1,2,-1,0],
[0,0,0,0,0,-1,2,0],
[0,0,0,0,-1,0,0,2]],cartan_type_check = False);cm
R=RootSystem(cm).root_lattice()
alpha = R.simple_roots();alpha
W = R.weyl_group(prefix="s")
W.action(alpha[2]) ==alpha[4]
then we are able to act weyl group action on any element with a reasonable
time.
Although it is taking more time. it is not showing now error insufficient
memory).
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Ticket URL: <http://trac.sagemath.org/ticket/9285#comment:3>
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