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Representation Theory

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Cyclotomic Carter-Payne homomorphisms

Authors: Sinéad Lyle and Andrew Mathas
Journal: Represent. Theory 18 (2014), 117-154
MSC (2010): Primary 20C08, 20C30
Published electronically: June 3, 2014
MathSciNet review: 3213527
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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

Andrew Mathas
Affiliation: School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia
MR Author ID: 349260

Keywords: Cyclotomic Hecke algebras, quiver Hecke algebras, Specht modules, Carter-Payne homomorphisms
Received by editor(s): February 18, 2013
Received by editor(s) in revised form: October 22, 2013
Published electronically: June 3, 2014
Article copyright: © Copyright 2014 American Mathematical Society