A skew Specht perspective of RoCK blocks and cuspidal systems for KLR
algebras in affine type A
A skew Specht perspective of RoCK blocks and cuspidal systems for KLR
algebras in affine type A
Cuspidal systems parameterize KLR algebra representations via root partitions $\pi$, where simple modules $L(\pi)$ arise as heads of proper standard modules. Working in affine type A with an arbitrary convex preorder, we construct explicit skew diagrams $\zeta(\pi)$ such that the skew Specht module $S^{\zeta(\pi)}$ has simple head $L(\pi)$ and a …