Cyclotomic Murphy Bases and Cellular Module Constructions — Examples

Calculate cell modules and their forms for the rank-one cyclotomic algebra and a small type-A specialization, including a vanishing form. Recover ordinary Hecke Specht construction as r=1 and cross-link its existing home instead of duplicating its item IDs.

These are planned worked examples and counterexamples for cyclotomic-murphy-bases-and-cellular-module-constructions, with empty item lists pending normal authoring and proof review. Each example must calculate from the stated hypotheses, and each counterexample must verify both its premises and the failed conclusion. This companion is a dependency leaf and supplies no theorem to another page.