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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Weyl modules for classical and quantum affine algebras
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by Vyjayanthi Chari and Andrew Pressley
Represent. Theory 5 (2001), 191-223
Published electronically: July 5, 2001


We introduce and study the notion of a Weyl module for the classical affine algebras, these modules are universal finite-dimensional highest weight modules. We conjecture that the modules are the classical limit of a family of irreducible modules of the quantum affine algebra, and prove the conjecture in the case of $sl_2$. The conjecture implies also that the Weyl modules are the classical limits of the standard modules introduced by Nakajima and further studied by Varagnolo and Vasserot.
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Bibliographic Information
  • Vyjayanthi Chari
  • Affiliation: Department of Mathematics, University of California, Riverside, California 92521
  • Email:
  • Andrew Pressley
  • Affiliation: Department of Mathematics, Kings College, London, WC 2R, 2LS, England, United Kingdom
  • Email:
  • Received by editor(s): August 23, 2000
  • Published electronically: July 5, 2001
  • © Copyright 2001 American Mathematical Society
  • Journal: Represent. Theory 5 (2001), 191-223
  • MSC (2000): Primary 81R50, 17B67
  • DOI:
  • MathSciNet review: 1850556