#8154: Enhencement for crystals
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Reporter: aschilling | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone:
Component: combinatorics | Keywords: combinatorics, crystals, KR
crystals
Author: Anne Schilling | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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New features for crystals:
- Started framework for general highest weight crystals in
/combinat/crystals/highest_weight.py
- Implementation of finite dimensional highest weight crystals for type
E6 and E7
- Added new class for direct sums of crystals in
/combinat/crystals/direct_sum.py
- Added a new crystal morphism function for acyclic crystals
- Added the Demazure operators on crystals
- Added Demazure characters for finite crystals in the ambient weight
lattice
- Added _test_fast_iter method to compare two different ways of creating
list of classical crystals
New features for Kirillov-Reshetikhin crystals:
- Implementation of Kirillov-Reshetikhin crystals B^{r,s} of type
E_6^{(1)} for r=1,2,6
- Pointer to KirillovReshetikhin crystals given in
/combinat/crystals/affine.py (as requested by Dan Bump)
- Added R-matrix for tensor product of two KR crystals
Bug fix:
- Fixed whitespace problems in
/combinat/crystals/crystals.py
/combinat/crystals/kirillov_reshetikhin.py
/combinat/crystals/affine.py
/combinat/crystals/spins.py
/combinat/crystals/tensor_products.py
/combinat/crystals/fast_crystals.py
/combinat/crystals/letters.py
Depends on trac ticket #7978 (trac_7978_crystal_cleanup-as.patch)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8154>
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