On restrictions of modular spin representations of symmetric and alternating groups

Alexander S. Kleshchev, Pham Huu Tiep

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Let double struck F sign be an algebraically closed field of characteristic p and H be an almost simple group or a central extension of an almost simple group. An important problem in representation theory is to classify the subgroups G of H and double struck F signH-modules V such that the restriction V↓ G is irreducible. For example, this problem is a natural part of the program of describing maximal subgroups in finite classical groups. In this paper we investigate the case of the problem where H is the Schur's double cover  n or Ŝ n.

Original languageEnglish (US)
Pages (from-to)1971-1999
Number of pages29
JournalTransactions of the American Mathematical Society
Volume356
Issue number5
DOIs
StatePublished - May 2004
Externally publishedYes

Fingerprint

Alternating group
Symmetric group
Simple group
Restriction
Central Extension
Maximal Subgroup
Classical Groups
Representation Theory
Algebraically closed
Finite Group
Classify
Subgroup
Cover
Module

Keywords

  • Finite groups
  • Representation theory

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On restrictions of modular spin representations of symmetric and alternating groups. / Kleshchev, Alexander S.; Tiep, Pham Huu.

In: Transactions of the American Mathematical Society, Vol. 356, No. 5, 05.2004, p. 1971-1999.

Research output: Contribution to journalArticle

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