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Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems

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

Autorschaft

  • Alexander Kleshchev
  • Lucia Morotti
  • Pham Huu Tiep

Organisationseinheiten

Externe Organisationen

  • University of Oregon
  • Rutgers University

Details

OriginalspracheEnglisch
Seiten (von - bis)677-723
Seitenumfang47
FachzeitschriftMathematische Zeitschrift
Jahrgang293
Ausgabenummer1-2
Frühes Online-Datum4 Dez. 2018
PublikationsstatusVeröffentlicht - Okt. 2019

Abstract

We study irreducible restrictions of modules over symmetric groups to subgroups. We get reduction results which substantially restrict the classes of subgroups and modules for which this is possible. Such results are 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. This work fits into the Aschbacher–Scott program on maximal subgroups of finite classical groups.

ASJC Scopus Sachgebiete

Zitieren

Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems. / Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu.
in: Mathematische Zeitschrift, Jahrgang 293, Nr. 1-2, 10.2019, S. 677-723.

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

Kleshchev A, Morotti L, Tiep PH. Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems. Mathematische Zeitschrift. 2019 Okt;293(1-2):677-723. Epub 2018 Dez 4. doi: 10.1007/s00209-018-2203-1
Kleshchev, Alexander ; Morotti, Lucia ; Tiep, Pham Huu. / Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems. in: Mathematische Zeitschrift. 2019 ; Jahrgang 293, Nr. 1-2. S. 677-723.
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