Corrigendum to `Orbit closures in the enhanced nilpotent cone', published in Adv. Math. 219 (2008)

Details Corrigendum to `Orbit closures in the enhanced nilpotent cone', published in Adv. Math. 219 (2008) Corrigendum to `Orbit closures in the enhanced nilpotent cone', published in Adv. Math. 219 (2008)

2010-08-06

arxiv.org/abs/1008.1117v1

Adv. Math. 228 (2011), no. 5, 2984-2988

Mathematics

Representation Theory

4 pages. The original paper, in a version almost the same as the published version, is arXiv:0712.1079

Scientific paper

10.1016/j.aim.2011.05.030

In this note, we point out an error in the proof of Theorem 4.7 of [P. Achar and A.~Henderson, `Orbit closures in the enhanced nilpotent cone', Adv. Math. 219 (2008), 27-62], a statement about the existence of affine pavings for fibres of a certain resolution of singularities of an enhanced nilpotent orbit closure. We also give independent proofs of later results that depend on that statement, so all other results of that paper remain valid.

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