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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On restrictions of modular spin representations of symmetric and alternating groups
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by Alexander S. Kleshchev and Pham Huu Tiep PDF
Trans. Amer. Math. Soc. 356 (2004), 1971-1999 Request permission

Abstract:

Let $\mathbb F$ 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 $\mathbb F H$-modules $V$ such that the restriction $V{\downarrow }_G$ 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 $\hat A_n$ or $\hat S_n$.
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Additional Information
  • Alexander S. Kleshchev
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • MR Author ID: 268538
  • Email: klesh@math.uoregon.edu
  • Pham Huu Tiep
  • Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
  • MR Author ID: 230310
  • Email: tiep@math.ufl.edu
  • Received by editor(s): October 30, 2002
  • Received by editor(s) in revised form: April 4, 2003
  • Published electronically: October 28, 2003
  • Additional Notes: The authors gratefully acknowledge the support of the NSF (grants DMS-0139019 and DMS-0070647)
  • © Copyright 2003 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 1971-1999
  • MSC (2000): Primary 20C20, 20C30, 20C25; Secondary 20B35, 20B20
  • DOI: https://doi.org/10.1090/S0002-9947-03-03364-6
  • MathSciNet review: 2031049