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

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Alexander Kleshchev
  • Lucia Morotti
  • Pham Huu Tiep

Research Organisations

External Research Organisations

  • University of Oregon
  • Rutgers University
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Details

Original languageEnglish
Pages (from-to)677-723
Number of pages47
JournalMathematische Zeitschrift
Volume293
Issue number1-2
Early online date4 Dec 2018
Publication statusPublished - Oct 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 subject areas

Cite this

Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems. / Kleshchev, Alexander; Morotti, Lucia; Tiep, Pham Huu.
In: Mathematische Zeitschrift, Vol. 293, No. 1-2, 10.2019, p. 677-723.

Research output: Contribution to journal › Article › Research › peer review

Kleshchev A, Morotti L, Tiep PH. Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems. Mathematische Zeitschrift. 2019 Oct;293(1-2):677-723. Epub 2018 Dec 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 ; Vol. 293, No. 1-2. pp. 677-723.
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