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

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

1997-01-18

arxiv.org/abs/q-alg/9701020v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pages, including 1 figure in postscript

Scientific paper

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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