Irreducible restrictions of representations of symmetric and alternating groups in small characteristics

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

Autoren

  • Alexander Kleshchev
  • Lucia Morotti
  • Pham Huu Tiep

Organisationseinheiten

Externe Organisationen

  • University of Oregon
  • Rutgers University
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Details

OriginalspracheEnglisch
Aufsatznummer107184
FachzeitschriftAdvances in mathematics
Jahrgang369
Frühes Online-Datum13 Mai 2020
PublikationsstatusVeröffentlicht - 5 Aug. 2020

Abstract

Building on reduction theorems and dimension bounds for symmetric groups obtained in our earlier work, we classify the irreducible restrictions of representations of the symmetric and alternating groups to proper subgroups. Such a classification is known 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. Our results fit into the Aschbacher-Scott program on maximal subgroups of finite classical groups.

ASJC Scopus Sachgebiete

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Irreducible restrictions of representations of symmetric and alternating groups in small characteristics. / Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu.
in: Advances in mathematics, Jahrgang 369, 107184, 05.08.2020.

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

Kleshchev A, Morotti L, Tiep PH. Irreducible restrictions of representations of symmetric and alternating groups in small characteristics. Advances in mathematics. 2020 Aug 5;369:107184. Epub 2020 Mai 13. doi: 10.1016/j.aim.2020.107184
Kleshchev, Alexander ; Morotti, Lucia ; Tiep, Pham Huu. / Irreducible restrictions of representations of symmetric and alternating groups in small characteristics. in: Advances in mathematics. 2020 ; Jahrgang 369.
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