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Hemmer, David J. (2006)
Publisher: Elsevier BV
Journal: Journal of Algebra
Languages: English
Types: Article
Subjects: 20C30, Algebra and Number Theory, Mathematics - Representation Theory

Classified by OpenAIRE into

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 the set of irreducible Specht modules coincides with the set of irreducible signed Young modules. This provides evidence for our conjecture that the signed Young modules are precisely the class of indecomposable self-dual modules with Specht filtrations. The theorem is false in characteristic two.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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    • [13] Jonathan Kujawa. private communication. 2005.
    • [14] Andrew Mathas. Iwahori-Hecke algebras and Schur algebras of the symmetric group, volume 15 of University Lecture Series. American Mathematical Society, Providence, RI, 1999. University of Toledo, Department of Mathematics, 2801 W. Bancroft, Toledo, OH 43606, USA E-mail address:
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  • Discovered through pilot similarity algorithms. Send us your feedback.

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