Fourier, G. and Hernandez, D. (2014) Schur positivity and Kirillov-Reshetikhin modules. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10(058), (doi: 10.3842/SIGMA.2014.058)
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Abstract
In this note, inspired by the proof of the Kirillov-Reshetikhin conjecture, we consider tensor products of Kirillov-Reshetikhin modules of a fixed node and various level. We fix a positive integer and attach to each of its partitions such a tensor product. We show that there exists an embedding of the tensor products, with respect to the classical structure, along with the reverse dominance relation on the set of partitions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Fourier, Dr Ghislain |
| Authors: | Fourier, G., and Hernandez, D. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) |
| Publisher: | National Academy of Sciences of Ukraine, Institute of Mathematics |
| ISSN: | 1815-0659 |
| ISSN (Online): | 1815-0659 |
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