Irreducible Specht modules are signed Young modules

Article, Preprint English OPEN
Hemmer, David J.;
(2005)
  • Publisher: Elsevier BV
  • Journal: Journal of Algebra,volume 305,issue 1,pages433-441 (issn: 0021-8693)
  • Related identifiers: doi: 10.1016/j.jalgebra.2006.01.046
  • Subject: 20C30 | Algebra and Number Theory | Mathematics - Representation Theory
    arxiv: Mathematics::Representation Theory | Astrophysics::Galaxy Astrophysics | Astrophysics::Solar and Stellar Astrophysics

Recently Donkin defined signed Young modules as a simultaneous generalization of Young and twisted Young modules for the symmetric group. We show that in odd characteristic, if a Specht module $S^\lambda$ is irreducible, then $S^\lambda$ is a signed Young module. Thus t... View more
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