A generalization of Carter-Payne homomorphisms
Representation Theory
2025-06-09 v1
Abstract
We construct graded homomorphisms between Specht modules of quiver Hecke algebras of type A that differ by an ``-small'' partition-shaped removable set of nodes by expanding on methods by Lyle and Mathas. Our main result constitutes a full generalization of the classical result by Carter and Payne for Specht modules of the symmetric group.
Cite
@article{arxiv.2506.05800,
title = {A generalization of Carter-Payne homomorphisms},
author = {Martín Forsberg Conde},
journal= {arXiv preprint arXiv:2506.05800},
year = {2025}
}
Comments
30 pages