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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles 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 1.48.

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$q$-tensor space and $q$-Weyl modules
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by Richard Dipper and Gordon James PDF
Trans. Amer. Math. Soc. 327 (1991), 251-282 Request permission

Abstract:

We obtain the irreducible representations of the $q$-Schur algebra, motivated by the fact that these representations give all the irreducible representations of $G{L_n}(q)$ in the nondescribing characteristic. The irreducible polynomial representations of the general linear groups in the describing characteristic are a special case of this construction.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 327 (1991), 251-282
  • MSC: Primary 20G05; Secondary 20C30
  • DOI: https://doi.org/10.1090/S0002-9947-1991-1012527-1
  • MathSciNet review: 1012527