#6839: Implementation of crystal of letters for type E7
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Reporter: aschilling | Owner: aschilling
Type: enhancement | Status: new
Priority: major | Milestone: sage-combinat
Component: combinatorics | Keywords: combinat, crystals
Reviewer: | Author: Anne Schilling
Merged: |
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Comment(by bump):
This patch creates the E7 crystal with highest weight
vector the last fundamental weight. This is the 56-dimensional
one. As usual, once the crystal of letters is implemented,
others follow using CrystalOfTableaux, though for such a
large group this will be computationally intensive.
The patch applies without change to sage 4.1.1.
It passes {{{sage --testall}}}.
I convinced myself that the crystal created is correct. For
example, it branches correctly to E6, A6 and D6.
The new method to_highest_weight() is very useful. You
can specify a subset of the index set and partition the
crystal into subcrystals for any Levi subgroup.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6839#comment:2>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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