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

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

Authors

  • Alexander Kleshchev
  • Lucia Morotti
  • Pham Tiep

Research Organisations

External Research Organisations

  • University of Oregon
  • Rutgers University
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Details

Original languageEnglish
Pages (from-to)115-150
Number of pages36
JournalRepresentation Theory of the American Mathematical Society
Volume24
Issue number4
Publication statusPublished - 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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Cite this

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, Vol. 24, No. 4, 20.02.2020, p. 115-150.

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

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