Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Alexander Kleshchev
  • Lucia Morotti
  • Pham Tiep

Organisationseinheiten

Externe Organisationen

  • University of Oregon
  • Rutgers University
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Details

OriginalspracheEnglisch
Seiten (von - bis)115-150
Seitenumfang36
FachzeitschriftRepresentation Theory of the American Mathematical Society
Jahrgang24
Ausgabenummer4
PublikationsstatusVeröffentlicht - 20 Feb. 2020

Abstract

We study irreducible restrictions from modules over alternating groups to proper subgroups, and prove reduction results which substantially restrict the classes of subgroups and modules for which this is possible. This problem had been solved when the characteristic of the ground field is greater than 3, but the small characteristics cases require a substantially more delicate analysis and new ideas. This work fits into the Aschbacher-Scott program on maximal subgroups of finite classical groups.

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Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems. / Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham.
in: Representation Theory of the American Mathematical Society, Jahrgang 24, Nr. 4, 20.02.2020, S. 115-150.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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