added new combinatorial functions for tableaux and crystals

[anneschilling]

I added a two new functions
promotion and promotion_inverse
for rectangular tableaux.

I also added a reflection operator
for the crystal library.

CC: @sagetrac-sage-combinat

Component: combinatorics

Keywords: promotion, reflection

Issue created by migration from https://trac.sagemath.org/ticket/3418

[anneschilling]

Attachment: promotion_reflection_for_trac.patch.gz

[mwhansen]

comment:2

Hi Anne,

The one thing I would change is that instead of returning the string "Tableaux is not rectangular" is raising a ValueError with that message. Also, could you add a line before "EXAMPLES" in "def s("?

Other than that, it looks good to go in.

--Mike

[mwhansen]

comment:3

Oh, the doctest for the ValueError would look something like this:

sage: t = Tableau([[1,2],[2]]) 
sage: t.promotion(3) 
Traceback (most recent call last):
...
ValueError: Tableaux is not recutangular

[anneschilling]

fixed the issues that Mike raised

[mwhansen]

comment:4

Attachment: promotion_reflection-3418-submitted.patch.gz

[sagetrac-mabshoff]

comment:6

Merged promotion_reflection-3418-submitted.patch in Sage 3.0.3.rc0