#14095: SymmetricGroup as a proper WeylGroup
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Reporter: nthiery | Owner: sage-combinat
Type: defect | Status: new
Priority: major | Milestone: sage-5.7
Component: combinatorics | Keywords: days45
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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During Sara Billey's talk, it came up that not all of the Weyl group
functionalities are available for the symmetric group:
- The symmetric group does not implement CartanType
- The Stanley symmetric function code uses the old fashionned W.unit()
rather than W.one(). There might be some other occurences that should be
cleaned up
Test case:
{{{
sage: G = SymmetricGroup(4)
sage: w = G.from_reduced_word([3,2,3,1])
sage: w.stanley_symmetric_function()
3*m[1, 1, 1, 1] + 2*m[2, 1, 1] + m[2, 2] + m[3, 1]
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14095>
Sage <http://www.sagemath.org>
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