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RSOS Models and Jantzen–Seitz Representations of Hecke Algebras at Roots of Unity |
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| Authors: | Foda Omar Leclerc Bernard Okado Masato Thibon Jean-Yves Welsh Trevor A |
| Institution: | (1) Department of Mathematics, University of Melbourne, Parkville, Victoria, 3052, Australia;(2) Département de Mathématiques, Université de Caen, BP, 5186 14032 Caen Cedex, France;(3) Department of Mathematical Science, Osaka University, Osaka, 560, Japan;(4) Université de Marne-la-Vallée, 93166 Noisy-le-Grand Cedex, France |
| Abstract: | A special family of partitions occurs in two apparently unrelated contexts: the evaluation of one-dimensional configuration sums of certain RSOS models, and the modular representation theory of symmetric groups or their Hecke algebras Hm. We provide an explanation of this coincidence by showing how the irreducible Hm-modules which remain irreducible under restriction to Hm_1 (Jantzen–Seitz modules) can be determined from the decomposition of a tensor product of representations sln. |
| Keywords: | restricted solid-on-solid models Heche algebras Jantzen – Seitz modules Symmetric groups |
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