Schur Positivity and Kirillov-Reshetikhin Modules

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...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2014
Hauptverfasser: Fourier, G., Hernandez, D.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2014
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/146696
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Zitieren:Schur Positivity and Kirillov-Reshetikhin Modules / G. Fourier, D. Hernandez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Fourier, G.
Hernandez, D.
author_facet Fourier, G.
Hernandez, D.
citation_txt Schur Positivity and Kirillov-Reshetikhin Modules / G. Fourier, D. Hernandez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description 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.
first_indexed 2025-11-25T20:49:29Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-11-25T20:49:29Z
publishDate 2014
publisher Інститут математики НАН України
record_format dspace
spelling Fourier, G.
Hernandez, D.
2019-02-10T19:08:25Z
2019-02-10T19:08:25Z
2014
Schur Positivity and Kirillov-Reshetikhin Modules / G. Fourier, D. Hernandez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 18 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 17B10; 17B37; 05E05
DOI:10.3842/SIGMA.2014.058
https://nasplib.isofts.kiev.ua/handle/123456789/146696
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.
This paper is a contribution to the Special Issue on New Directions in Lie Theory. The full collection is
 available at http://www.emis.de/journals/SIGMA/LieTheory2014.html
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Schur Positivity and Kirillov-Reshetikhin Modules
Article
published earlier
spellingShingle Schur Positivity and Kirillov-Reshetikhin Modules
Fourier, G.
Hernandez, D.
title Schur Positivity and Kirillov-Reshetikhin Modules
title_full Schur Positivity and Kirillov-Reshetikhin Modules
title_fullStr Schur Positivity and Kirillov-Reshetikhin Modules
title_full_unstemmed Schur Positivity and Kirillov-Reshetikhin Modules
title_short Schur Positivity and Kirillov-Reshetikhin Modules
title_sort schur positivity and kirillov-reshetikhin modules
url https://nasplib.isofts.kiev.ua/handle/123456789/146696
work_keys_str_mv AT fourierg schurpositivityandkirillovreshetikhinmodules
AT hernandezd schurpositivityandkirillovreshetikhinmodules