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Generalized Mullineux
involution and perverse equivalences
Thomas Gerber, Nicolas Jacon and Emily Norton |
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Vol. 306 (2020), No. 2, 487–517
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Abstract |
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We define a generalization of the Mullineux involution on multipartitions using the theory of crystals for higher-level Fock spaces. Our generalized Mullineux involution turns up in representation theory via two important derived functors on cyclotomic Cherednik category : Losev’s “” wall-crossing, and Ringel duality. |
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Keywords
Mullineux involution, Hecke algebra, Cherednik algebra
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Mathematical Subject Classification 2010
Primary: 16T30, 17B37, 20C08
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Milestones
Received: 5 April 2019
Revised: 16 January 2020
Accepted: 25 January 2020
Published: 13 July 2020
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Authors |
| Thomas Gerber | |
| École Polytechnique Fédérale de
Lausanne Lausanne Switzerland |
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| Nicolas Jacon | |
| UFR Sciences exactes et naturelles,
Laboratoire de Mathématiques Université de Reims Champagne-Ardenne CNRS UMR 9008 Reims France |
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| Emily Norton | |
| University of Bonn Bonn Germany |
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