#20402: Make subword complexes compatible with real reflection groups
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Reporter: stumpc5 | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-7.2
Component: combinatorics | Resolution:
Keywords: reflection group, | Merged in:
coxeter group, subword complex, | Reviewers:
days80 | Work issues:
Authors: Christian Stump | Commit:
Report Upstream: N/A | 295d784db0ae24bed97ed7b4d3777df9dbd652c2
Branch: u/stumpc5/20402 | Stopgaps:
Dependencies: #11187 |
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Comment (by stumpc5):
One quick question outside of finite type Weyl and Coxeter groups {{{W}}}:
is it correct that the actions of {{{W}}} on {{{V}}} and on {{{V^*}}} are
the same. This is, the image of (x1,...,xn) under {{{w}}} is the same for
(x1,...,xn) being a vector in {{{V}}} expressed in the basis {ei} and
being a vector in {{{V^*}}} being expressed in the dual basis {xi}?
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Ticket URL: <http://trac.sagemath.org/ticket/20402#comment:47>
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