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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quantum affine modules for non-twisted Affine Kac-Moody algebras
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by V. Futorny, J. T. Hartwig and E. A. Wilson PDF
Proc. Amer. Math. Soc. 143 (2015), 5159-5171 Request permission

Abstract:

We construct new irreducible weight modules over quantum affine algebras of type I with all weight spaces infinite dimensional. These modules are obtained by parabolic induction from irreducible modules over the Heisenberg subalgebra.
References
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Additional Information
  • V. Futorny
  • Affiliation: Instituto de Matemática e Estatística, Universidade de São Paulo, São Paulo SP, Brazil
  • MR Author ID: 238132
  • Email: futorny@ime.usp.br
  • J. T. Hartwig
  • Affiliation: Department of Mathematics,University of California Riverside, Riverside, California 92521
  • MR Author ID: 776335
  • Email: hartwig@math.ucr.edu
  • E. A. Wilson
  • Affiliation: Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, New Jersey 08854-8019
  • Email: eaw132@scarletmail.rutgers.edu
  • Received by editor(s): May 20, 2014
  • Received by editor(s) in revised form: October 23, 2014
  • Published electronically: June 18, 2015
  • Communicated by: Kailash Misra
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 5159-5171
  • MSC (2010): Primary 17B37; Secondary 17B67, 17B10
  • DOI: https://doi.org/10.1090/proc/12663
  • MathSciNet review: 3411134