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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Cyclotomic Carter-Payne homomorphisms
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by Sinéad Lyle and Andrew Mathas PDF
Represent. Theory 18 (2014), 117-154 Request permission

Abstract:

We construct a new family of homomorphisms between (graded) Specht modules of the quiver Hecke algebras of type $A$. These maps have many similarities with the homomorphisms constructed by Carter and Payne in the special case of the symmetric groups, although the maps that we obtain are both more and less general than these.
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Additional Information
  • Sinéad Lyle
  • Affiliation: School of Mathematics, University of East Anglia, Norwich NR4 7TJ, United Kingdom
  • Email: s.lyle@uea.ac.uk
  • Andrew Mathas
  • Affiliation: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
  • MR Author ID: 349260
  • Email: andrew.mathas@sydney.edu.au
  • Received by editor(s): February 18, 2013
  • Received by editor(s) in revised form: October 22, 2013
  • Published electronically: June 3, 2014
  • © Copyright 2014 American Mathematical Society
  • Journal: Represent. Theory 18 (2014), 117-154
  • MSC (2010): Primary 20C08, 20C30
  • DOI: https://doi.org/10.1090/S1088-4165-2014-00450-3
  • MathSciNet review: 3213527