Skip to Main Content

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
HTML articles powered by AMS MathViewer

by Vyjayanthi Chari and Andrew Pressley
Represent. Theory 5 (2001), 191-223
DOI: https://doi.org/10.1090/S1088-4165-01-00115-7
Published electronically: July 5, 2001

Abstract:

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.
References
Similar Articles
  • Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 81R50, 17B67
  • Retrieve articles in all journals with MSC (2000): 81R50, 17B67
Bibliographic Information
  • Vyjayanthi Chari
  • Affiliation: Department of Mathematics, University of California, Riverside, California 92521
  • Email: chari@math.ucr.edu
  • Andrew Pressley
  • Affiliation: Department of Mathematics, Kings College, London, WC 2R, 2LS, England, United Kingdom
  • Email: anp@mth.kcl.ac.uk
  • 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: https://doi.org/10.1090/S1088-4165-01-00115-7
  • MathSciNet review: 1850556