#7751: Kazhdan-Lusztig polynomials, Bruhat order, and related features [with
patch, needs review]
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Reporter: bump | Owner: bump
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-4.3.3
Component: combinatorics | Keywords: Kazhdan-Lusztig, Bruhat order
Author: | Upstream: N/A
Reviewer: roed | Merged:
Work_issues: |
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Changes (by brant.c.jones):
* status: needs_review => positive_review
Comment:
Patch review: trac_7751
This patch implements Kazhdan--Lusztig polynomials and R-polynomials
associated to pairs of Weyl group elements in arbitrary type using
standard recursive formulas. I have verified the results of this code
against the Kazhdan--Lusztig polynomials produced by GAP/Chevie for all
pairs of elements in finite type A_4. I also verified this code against
GAP/Chevie for all pairs in affine type A_2 (having 3 generators) for all
pairs of elements with Coxeter length less than or equal to 5. This patch
correctly implements useful mathematics and the documentation includes
references to relevant mathematical literature.
-- Brant Jones
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7751#comment:8>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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