Auslander-Reiten theory of small half quantum groups

Abstract

For the small half quantum groups u ζ ( b ) u_\zeta (\mathfrak {b}) and u ζ ( n ) u_\zeta (\mathfrak {n}) we show that the components of the stable Auslander-Reiten quiver containing gradable modules are of the form Z [ A ∞ ] \mathbb {Z}[\mathbb {A}_\infty ] .