Opened 5 years ago

Closed 5 years ago

Last modified 4 years ago

#15969 closed enhancement (fixed)

New class method: Kazhdan-Lusztig R_tilde polynomial

Reported by: AJXGuo Owned by:
Priority: trivial Milestone: sage-6.2
Component: combinatorics Keywords: Kazhdan-Lusztig R-polynomial
Cc: tscrim, andrew.mathas, bump Merged in:
Authors: Alan J.X. Guo (郭嘉祥) Reviewers: Frédéric Chapoton
Report Upstream: N/A Work issues:
Branch: 939be6d (Commits) Commit:
Dependencies: Stopgaps:

Description (last modified by chapoton)

KL_R_tilde polynomial is equivalent to KL_R polynomial. It has a combinatorial interpretation by the theory of reflection ordering. I think a KL_R_tilde method in class Kazhdan_Lusztig polynomial class may lead some convenience.

One can have more information by reading:

Dyer M J. Hecke algebras and shellings of Bruhat intervals[J]. Compositio Mathematica, 1993, 89(1): 91-115. MLA

Bjorner A, Brenti F. Combinatorics of Coxeter groups[M]. New York: Springer, 2005.

Change History (11)

comment:1 Changed 5 years ago by AJXGuo

  • Branch set to u/AJXGuo/ticket/15969
  • Created changed from 03/18/14 03:43:16 to 03/18/14 03:43:16
  • Modified changed from 03/18/14 03:43:16 to 03/18/14 03:43:16

comment:2 Changed 5 years ago by AJXGuo

  • Commit set to d42e9b38c22bc3a4ad09024caeafcb24c0981f47
  • Status changed from new to needs_review

comment:3 Changed 5 years ago by AJXGuo

  • Summary changed from class method: Kazhdan-Lusztig R_tilde polynomial to New class method: Kazhdan-Lusztig R_tilde polynomial

comment:4 Changed 5 years ago by tscrim

  • Cc tscrim andrew.mathas bump added

comment:5 follow-up: Changed 5 years ago by chapoton

  • Branch changed from u/AJXGuo/ticket/15969 to public/ticket/15969
  • Commit changed from d42e9b38c22bc3a4ad09024caeafcb24c0981f47 to 4e3fc265d6b1c05628101f954d06550be32b9673
  • Reviewers set to Frédéric Chapoton

Hello,

I have made a little clean-up of your code. If you agree with my changes, you can set the ticket to positive review.


New commits:

2fcdc14Merge branch 'u/AJXGuo/ticket/15969' of ssh://trac.sagemath.org:22/sage into 15969
4e3fc26trac #15969 minor details

comment:6 Changed 5 years ago by git

  • Commit changed from 4e3fc265d6b1c05628101f954d06550be32b9673 to 62a2eafc36774d1a5f286e88d051d8984af941fd

Branch pushed to git repo; I updated commit sha1. New commits:

34f2b43The class method KazhdanLusztigPolynomial.R_tilde().
a900943The comment and example for KL.R_Tilde is wroted.
87fdbb8I wrote my name in the file ^_^
5f5fd1eLittle Modification on comment.
62a2eaftrac #15969 minor details

comment:7 Changed 5 years ago by git

  • Commit changed from 62a2eafc36774d1a5f286e88d051d8984af941fd to 939be6d27d36f7734441e85cb6057ec413803394

Branch pushed to git repo; I updated commit sha1. New commits:

939be6dmore details, alignement correction

comment:8 in reply to: ↑ 5 Changed 5 years ago by AJXGuo

Hi,

I should have kept the code style in mind. Thanks for your comment.

Best wishes.

Replying to chapoton:

Hello,

I have made a little clean-up of your code. If you agree with my changes, you can set the ticket to positive review.


New commits:

2fcdc14Merge branch 'u/AJXGuo/ticket/15969' of ssh://trac.sagemath.org:22/sage into 15969
4e3fc26trac #15969 minor details
Last edited 5 years ago by AJXGuo (previous) (diff)

comment:9 Changed 5 years ago by AJXGuo

  • Status changed from needs_review to positive_review

comment:10 Changed 5 years ago by vbraun

  • Branch changed from public/ticket/15969 to 939be6d27d36f7734441e85cb6057ec413803394
  • Resolution set to fixed
  • Status changed from positive_review to closed

comment:11 Changed 4 years ago by chapoton

  • Commit 939be6d27d36f7734441e85cb6057ec413803394 deleted
  • Description modified (diff)

yet another TAB in the description field.

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