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There are various reasons why a naive analog of the Maeda conjecture has tofail for Drinfeld cusp forms. Focussing on double cusp forms and using the linkfound by Teitelbaum between Drinfeld cusp forms and certain harmonic cochains,we observed a while ago that all obvious counterexamples disappear for certainHecke-invariant subquotients of spaces of Drinfeld cusp forms of fixed weight,which can be defined naturally via representation theory. The present workextends Teitelbaum's isomorphism to an adelic setting and to arbitrary levels,it makes precise the impact of representation theory, it relates certainintertwining maps to hyperderivatives of Bosser-Pellarin, and it begins aninvestigation into dimension formulas for the subquotients mentioned above. Weend with some numerical data for $A=\mathbb{F}_3[t]$ that displays a newobstruction to an analog of a Maeda conjecture by discovering a conjecturallyinfinite supply of $\mathbb{F}_3(t)$-rational eigenforms with combinatoriallygiven (conjectural) Hecke eigenvalues at the prime $t$.

A Hecke-equivariant decomposition of spaces of Drinfeld cusp forms via representation theory, and an investigation of its subfactors