The number of simple modules of the Hecke algebras of type G(r,1,n) |
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| Authors: | Susumu Ariki Andrew Mathas |
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| Affiliation: | (1) Tokyo University of Mercantile Marine, Etchujima 2-1-6, Koto-ku, Tokyo 135-8533, Japan (e-mail: ariki@ipc.tosho-u.ac.jp) , JP;(2) University of Sydney, Sydney NSW 2006, Australia (e-mail: a.mathas@maths.usyd.edu.au) , AU |
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| Abstract: | This paper classifies the simple modules of the cyclotomic Hecke algebras of type G(r,1,n) and the affine Hecke algebras of type A in arbitrary characteristic. We do this by first showing that the simple modules of the cyclotomic Hecke algebras are indexed by the set of “Kleshchev multipartitions”. Received July 24, 1998; in final form February 8, 1999 |
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| Keywords: | A.M.S. subject classification (1991): 16G99 17B67 20G05. |
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