Implementation of non-commutative k-Schur functions in the nilCoxeter algebra

[sagetrac-chrisjamesberg]

Implementation of the nilCoxeter algebra for all Weyl Groups. In affine type 'A' it computes the k-schur functions in non-commutative variables.

Apply: attachment: trac_11290-nilCoxeter-final.patch

CC: @sagetrac-sage-combinat @anneschilling

Component: combinatorics

Keywords: kSchur, nilCoxeter algebra, days30

Author: Chris Berg, Anne Schilling

Reviewer: Jason Bandlow, Franco Saliola

Merged: sage-4.7.1.alpha1

Issue created by migration from https://trac.sagemath.org/ticket/11290

[sagetrac-chrisjamesberg]

Changed keywords from kSchur, nilCoxeter algebra to kSchur, nilCoxeter algebra, days30

[anneschilling]

Changed author from Chris Berg to Chris Berg, Anne Schilling

[anneschilling]

Description changed:

--- 
+++ 
@@ -1 +1 @@
-Implementation of the type A affine Nil-Coxeter algebra and the non-commutative k-Schur functions in this algebra.
+Implementation of the affine nilCoxeter algebra and the non-commutative k-Schur functions in this algebra in type A.

[sagetrac-chrisjamesberg]

Description changed:

--- 
+++ 
@@ -1 +1 @@
-Implementation of the affine nilCoxeter algebra and the non-commutative k-Schur functions in this algebra in type A.
+Implementation of the nilCoxeter algebra and the non-commutative k-Schur functions in this algebra in finite types `A` and `B` and affine types `A^1`, `B^1`, `C^1`, `D^1`.

[jbandlow]

Reviewer: Jason Bandlow

[jbandlow]

comment:5

This iteration looks good to me, Chris. Positive review!