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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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Representation type of Hecke algebras of type $A$
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by Karin Erdmann and Daniel K. Nakano PDF
Trans. Amer. Math. Soc. 354 (2002), 275-285 Request permission

Abstract:

In this paper we provide a complete classification of the representation type for the blocks for the Hecke algebra of type $A$, stated in terms of combinatorical data. The computation of the complexity of Young modules is a key component in the proof of this classification result.
References
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Additional Information
  • Karin Erdmann
  • Affiliation: Mathematical Institute, Oxford University, 24-29 St. Giles, Oxford, OX1 3LB, UK
  • MR Author ID: 63835
  • ORCID: 0000-0002-6288-0547
  • Email: erdmann@maths.ox.ac.uk
  • Daniel K. Nakano
  • Affiliation: Department of Mathematics, University of Georgia, Athens, Georgia 30602
  • MR Author ID: 310155
  • ORCID: 0000-0001-7984-0341
  • Received by editor(s): September 24, 1999
  • Received by editor(s) in revised form: August 18, 2000
  • Published electronically: July 11, 2001
  • Additional Notes: Research of the second author partially supported by NSF grant DMS-9800960
  • © Copyright 2001 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 354 (2002), 275-285
  • MSC (2000): Primary 16G60, 20C08
  • DOI: https://doi.org/10.1090/S0002-9947-01-02848-3
  • MathSciNet review: 1859276