On the graded algebras associated with Hecke symmetries, II. The Hilbert series

Hecke symmetries give rise to a family of graded algebras which represent quantum groups and spaces noncommutative geometry. The present paper continues the work aiming understand general properties these without restriction on parameter q relation used in earlier results. However, if is root 1, we need indecomposable modules for type A that can occur as direct summands representations tensor powers initial vector space V. In this setting, generalize known results rationality Hilbert series. combinatorial nature problem stems from relationship between Grothendieck ring category comodules Faddeev–Reshetikhin–Takhtajan bialgebra A(R) associated with symmetry R symmetric functions. We then improve two monoidal equivalences corepresentation categories Gorensteinness previous article.