Enabling plotting of top graded piece of infinite dimensional crystals

[anneschilling]

This patch changes the iterator for highest weight crystals to TransitiveIdealGraded to allow for plotting of the top piece of an infinite dimensional crystal.

Apply attachment: trac_14052-infinite-crystal-as.patch

CC: @sagetrac-sage-combinat

Component: combinatorics

Keywords: crystals, digraph, plotting, days45

Author: Anne Schilling

Reviewer: Nicolas M. Thiery, Travis Scrimshaw

Merged: sage-5.7.rc0

Issue created by migration from https://trac.sagemath.org/ticket/14052

[anneschilling]

comment:2

Travis wrote a review patch which has been incorporated. The patch is ready for review!

Anne

[anneschilling]

comment:3

Attachment: trac_14052-infinite-crystal-as.patch.gz

Removed trailing white spaces.

Anne

[tscrim]

comment:4

Everything looks good. Thanks.

[seblabbe]

comment:5

Hi Anne,

I have one small comment about the patch related to the modifications made to the file sage/combinat/backtrack.py. I do not think it is a good idea to add this new argument to the __init__ of the TransitiveIdealGraded. I believe the maximal recursion depth should be an argument to the iterator method.

In fact, I started a patch just today in the train to fix stuff about TransitiveIdealGraded and TransitiveIdeal. I believe the creation of the class TransitiveIdealGraded was a mistake. For the same reason, we do not create a class of integers that we are going to multiplicate, another class for integers that we are going to add, and create a class for integers that we are going to factor. And now adding this new argument to the init does not go in the good direction...

I am goind to upload a patch in a few minutes to make my point more clear. Then, I will leave you the choice of using it or not...

[seblabbe]

Attachment: backtrack-sl.patch.gz