“…It is often possible to write explicit bases for the unitary representations or for the corresponding representations of closely related algebras such as the Morita equivalent diagrammatic Cherednik algebra or the Hecke algebra. 1 At the categorical level, the unitary irreducible representations in type A, and for certain parameters, type G(ℓ, 1, n), have been proven to possess resolutions by complexes of direct sums of standard modules [4], [7], [6]. Such resolutions, known in the literature as BGG resolutions, categorify character formulas via the Euler characteristic of the complex.…”