Corrigendum to "On injective modules and support varieties for the small quantum group"

Abstract

The proof of Theorem 5.12 in [C.M. Drupieski, On injective modules and support varieties for the small quantum group, Int. Math. Res. Not. 2011 (2011), 2263-2294] does not make sense as written because the algebra $u_{\zeta }({\mathfrak{b}}_{\alpha }^{+})$ need not be a Hopf subalgebra of $u_{\zeta }({\mathfrak{b}}^{+})$ unless $\alpha$ is a simple root. This note describes how the proof should be modified to work around this fact.

2 pages; Corrigendum to [C.M. Drupieski, On injective modules and support varieties for the small quantum group, Int. Math. Res. Not. 2011 (2011), 2263-2294]