Opened 11 years ago
Last modified 10 years ago
#3663 closed enhancement
add support for affine crystals — at Version 7
Reported by: | mhansen | Owned by: | aschilling |
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Priority: | major | Milestone: | sage-4.3 |
Component: | combinatorics | Keywords: | affine crystals |
Cc: | sage-combinat, bump@… | Merged in: | |
Authors: | Anne Schilling, Brant Jones | Reviewers: | Dan Bump |
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description (last modified by )
Implementation of affine crystals from classical crystals:
- input is a classical crystal
- an affine crystal can be constructed by providing the methods e0 and f0
Implementation of affine crystals from classical crystal and promotion:
- input is a classical crystal and a promotion operators which corresponds to a Dynkin diagram automorphism
- the methods e0 and f0 are computed using the promotion operator
Implementation of Kirillov Reshetikhin crystals:
- Type A_n^{{(1)} KR crystals are implemented. }
- Type D_n^{{(1)}, B_n}{(1)}, A_{2n-1}^{{(2)} KR crystals are implemented using plus-minus diagrams to construct the promotion operator which corresponds to interchanging nodes 0 and 1 }
- Type C_n^{{(1)} KR crystals are implemented; the methods e0 and f0 are constructed using an embedding into the ambient crystal of type A_{2n+1}}{(2)}
- Type A_{2n}^{{(2)}, D_{n+1}}{(2)} KR crystals are implemented; the methods e0 and f0 are constructed using an embedding into the ambient crystal of type C_n^{{(1)} via a similarity of crystals }
Some documentation links improvements.
Depends on trac ticket #4326 on root systems.
This patch is authored by Brant Jones and Anne Schilling.
Change History (12)
comment:1 Changed 11 years ago by
- Cc sage-combinat added
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comment:2 Changed 11 years ago by
- Description modified (diff)
- Keywords affine crystals added
- Owner changed from mhansen to aschilling
comment:3 Changed 11 years ago by
- Description modified (diff)
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comment:4 Changed 11 years ago by
- Description modified (diff)
comment:5 Changed 11 years ago by
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comment:6 Changed 11 years ago by
- Cc bump@… added
- Reviewers set to Dan Bump
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comment:7 Changed 11 years ago by
- Description modified (diff)
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improved documentation links added