## Cyclotomic Carter-Payne homomorphisms

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- by Sinéad Lyle and Andrew Mathas
- Represent. Theory
**18**(2014), 117-154 - DOI: https://doi.org/10.1090/S1088-4165-2014-00450-3
- Published electronically: June 3, 2014
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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.## References

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## Bibliographic 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