Kus, Deniz (2016). Kirillov-Reshetikhin crystals, energy function and the combinatorial R-matrix. J. Algebr. Comb., 43 (1). S. 45 - 75. NEW YORK: SPRINGER. ISSN 1572-9192
Full text not available from this repository.Abstract
We study the polytope model for the affine type A Kirillov-Reshetikhin crystals and prove that the action of the affine Kashiwara operators can be described in a remarkably simple way. Moreover, we investigate the combinatorial R-matrix on a tensor product of polytopes and characterize the map explicitly on the highest weight elements. We further give a formula for the local energy function and provide an alternative proof for the perfectness. We determine for any dominant highest weight element of level the elements involved in the definition of perfect crystals and give an explicit description of the ground-state path in the tensor product of polytopes.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-286797 | ||||||||
| DOI: | 10.1007/s10801-015-0625-y | ||||||||
| Journal or Publication Title: | J. Algebr. Comb. | ||||||||
| Volume: | 43 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | S. 45 - 75 | ||||||||
| Date: | 2016 | ||||||||
| Publisher: | SPRINGER | ||||||||
| Place of Publication: | NEW YORK | ||||||||
| ISSN: | 1572-9192 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| Refereed: | Yes | ||||||||
| URI: | http://kups.ub.uni-koeln.de/id/eprint/28679 |
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