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.
From: Martín Forsberg Conde [view email]
[v1]
Mon, 15 Jun 2026 10:00:33 UTC (69 KB)
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