Alvis-Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution

We study the effect of Alvis-Curtis duality on the unipotent representations of GLn(q) in non-defining characteristic ℓ. We show that the permutation induced on the simple modules can be expressed in terms of a generalization of the Mullineux involution on the set of all partitions, which involves b...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2018
Hauptverfasser: Dudas, O., Jacon, N.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2018
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/209457
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Alvis-Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution / O. Dudas , N. Jacon // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 27 назв. — англ.

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