Cyclotomic Carter-Payne homomorphisms

Lyle, Sinéad; Mathas, Andrew

doi:10.1090/S1088-4165-2014-00450-3

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.

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