New class method: Kazhdan-Lusztig R_tilde polynomial

[sagetrac-AJXGuo]

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.

CC: @tscrim @AndrewAtLarge @dwbump

Component: combinatorics

Keywords: Kazhdan-Lusztig R-polynomial

Author: Alan J.X. Guo (郭嘉祥)

Branch: 939be6d

Reviewer: Frédéric Chapoton

Issue created by migration from https://trac.sagemath.org/ticket/15969

[sagetrac-AJXGuo]

Branch: u/AJXGuo/ticket/15969

[sagetrac-AJXGuo]

Commit: d42e9b3

[fchapoton]

Changed branch from u/AJXGuo/ticket/15969 to public/ticket/15969

[fchapoton]

Reviewer: Frédéric Chapoton

[fchapoton]

Changed commit from d42e9b3 to 4e3fc26

[fchapoton]

comment:5

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.

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New commits:

2fcdc14	Merge branch 'u/AJXGuo/ticket/15969' of ssh://trac.sagemath.org:22/sage into 15969
4e3fc26	trac #15969 minor details

[sagetrac-git]

Changed commit from 4e3fc26 to 62a2eaf

[sagetrac-git]

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

34f2b43	The class method KazhdanLusztigPolynomial.R_tilde().
a900943	The comment and example for KL.R_Tilde is wroted.
87fdbb8	I wrote my name in the file _
5f5fd1e	Little Modification on comment.
62a2eaf	trac #15969 minor details

[sagetrac-git]

Changed commit from 62a2eaf to 939be6d

[sagetrac-git]

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

939be6d

more details, alignement correction

[sagetrac-AJXGuo]

comment:8

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

Best wishes. 

Replying to @fchapoton:

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:

2fcdc14	Merge branch 'u/AJXGuo/ticket/15969' of ssh://trac.sagemath.org:22/sage into 15969
4e3fc26	trac #15969 minor details

[vbraun]

Changed branch from public/ticket/15969 to 939be6d

[fchapoton]

Changed commit from 939be6d to none

[fchapoton]

comment:11

yet another TAB in the description field.