RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153663A 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 $\sl_n$.LaTeX, 10 pages, including 1 figure in postscriptQuantum AlgebraHigh Energy Physics - TheoryRSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unitytext