Type A Affine Hecke Algebras and Bernstein PBW — Examples

Calculate the n=2 Bernstein relation, its Laurent divisibility, a polynomial-module action and symmetric central elements. Differentiate this algebraic affine type-A construction from p-adic convolution and from degenerate affine Hecke algebras.

These are planned worked examples and counterexamples for type-a-affine-hecke-algebras-and-bernstein-pbw, 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.