Modular Branching Rules and the Mullineux Map for Hecke Algebras of Type A |
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Authors: | Brundan J |
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Affiliation: | Department of Mathematics, University of Oregon Eugene, OR 97403-1222, USA. E-mail: brundan{at}darkwing.uoregon.edu |
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Abstract: | We prove the quantum version - for Hecke algebras H An of typeA at roots of unity - of Kleshchev's modular branching rulefor symmetric groups. This result describes the socle of therestriction of an irreducible H An-module to the subalgebraH An1. As a consequence, we describe the quantum versionof the Mullineux involution describing the irreducible moduleobtained on twisting an irreducible module with the sign representation.1991 Mathematics Subject Classification: 20C05, 20G05. |
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Keywords: | modular representations Hecke algebras quantum GL (n) branching rules Mullineux conjecture |
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