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arXiv · 2506.05800

A generalization of Carter-Payne homomorphisms

Martín Forsberg Conde
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Abstract

We construct graded homomorphisms between Specht modules of quiver Hecke algebras of type A that differ by an ``$e$-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.

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Martín Forsberg Conde. 2025-06-06. A generalization of Carter-Payne homomorphisms. https://arxiv.org/abs/2506.05800

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