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arXiv · 2606.16499

Homomorphisms to Hook Specht Modules over Quiver Hecke Algebras of Type C

Martín Forsberg Conde·Berta Hudak
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Abstract

We investigate homomorphisms between Specht modules for level 1 cyclotomic quiver Hecke algebras of affine type C. For hook partitions with a `short leg' or a `short arm', we give the full quiver Hecke algebra action and we show that every non-zero homomorphism from an arbitrary Specht module is determined by sending the cyclic generator to a single standard basis element. We use this action to investigate homomorphisms to these Specht modules, giving a full classification in the short leg case. This provides the first investigation of homomorphisms between Specht modules in affine type C and extends methods previously used in affine type A.

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BibTeXRIS

Martín Forsberg Conde, Berta Hudak. 2026-06-15. Homomorphisms to Hook Specht Modules over Quiver Hecke Algebras of Type C. https://arxiv.org/abs/2606.16499

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