The modular branching rule for affine Hecke algebras of type A |
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| Authors: | Susumu Ariki,Nicolas Jacon,Cé dric Lecouvey |
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| Affiliation: | aGraduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan;bUniversité de Franche-Comté, UFR Sciences et Techniques, 16 route de Gray, 25030 Besançon, France;cLaboratoire de Mathématiques Pures et Appliquées Joseph Liouville, Centre Universitaire de la Mi-Voix, B.P. 699, 62228 Calais, France |
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| Abstract: | ![]()
For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove the modular branching rule. The latter generalizes work by Vazirani (2002) [22]. |
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| Keywords: | Affine Hecke algebra Modular branching rule Crystal |
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