#9291: Constructing a root system / coxeter group from a pair of matrices
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Reporter: nthiery | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-wishlist
Component: combinatorics | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Constructing root systems / coxeter groups / ... from a pair of
matrices describing the coordinates of the roots and coroots in
their respective basis. Interface:
{{{
sage: T = CartanType(roots_as_matrix, coroots_as_matrix)
sage: T.root_space()
sage: T.root_space().simple_roots()
sage: T.coroot_space()
sage: WeylGroup(T.root_space())
sage: WeylGroup(T)
sage: ReflectionGroup(T)
}}}
The root system code is designed to support such features. Attached: a
one page proof of feasibility (not following the above interface).
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9291>
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