dorsal/arxiv
View SchemaRSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity
| Authors | Omar Foda, Bernard Leclerc, Masato Okado, Jean-Yves Thibon, Trevor A. Welsh |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9701020 |
| URL | https://arxiv.org/abs/q-alg/9701020 |
Abstract
A special family of partitions occurs in two apparently unrelated contexts: the evaluation of 1-dimensional configuration sums of certain RSOS models, and the modular representation theory of symmetric groups or their Hecke algebras $H_m$. We provide an explanation of this coincidence by showing how the irreducible $H_m$-modules which remain irreducible under restriction to $H_{m-1}$ (Jantzen-Seitz modules) can be determined from the decomposition of a tensor product of representations of affine $\sl_n$.
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"abstract": "A special family of partitions occurs in two apparently unrelated contexts:\nthe evaluation of 1-dimensional configuration sums of certain RSOS models, and\nthe modular representation theory of symmetric groups or their Hecke algebras\n$H_m$. We provide an explanation of this coincidence by showing how the\nirreducible $H_m$-modules which remain irreducible under restriction to\n$H_{m-1}$ (Jantzen-Seitz modules) can be determined from the decomposition of a\ntensor product of representations of affine $\\sl_n$.",
"arxiv_id": "q-alg/9701020",
"authors": [
"Omar Foda",
"Bernard Leclerc",
"Masato Okado",
"Jean-Yves Thibon",
"Trevor A. Welsh"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity",
"url": "https://arxiv.org/abs/q-alg/9701020"
},
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"variant": "snapshot-2026-03-01",
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