Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587756 | Journal of Algebra | 2008 | 25 Pages |
Abstract
We provide the explicit combinatorial structure of the Kirillov–Reshetikhin crystals Br,s of type , , and . This is achieved by constructing the crystal analogue σ of the automorphism of the (respectively or ) Dynkin diagram that interchanges the 0 and 1 node. The involution σ is defined in terms of new ± diagrams that govern the Dn to Dn−1 (respectively Bn to Bn−1, or Cn to Cn−1) branching. It is also shown that the crystal Br,s is perfect. These crystals have been implemented in MuPAD-Combinat; the implementation is discussed in terms of many examples.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory