Schur Positivity and Kirillov-Reshetikhin Modules

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Authors: Fourier, G., Hernandez, D.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146696
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Schur Positivity and Kirillov-Reshetikhin Modules / G. Fourier, D. Hernandez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ.

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 t...