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

preprint2016arXivOpen access

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 uζ(bα+)u_ζ(\mathfrak{b}_α^+) need not be a Hopf subalgebra of uζ(b+)u_ζ(\mathfrak{b}^+) unless αα is a simple root. This note describes how the proof should be modified to work around this fact.

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