Support varieties of non-restricted modules over Lie algebras of reductive groups: corrigenda and addenda

TL;DR

This paper corrects a previous work on support varieties of non-restricted modules over Lie algebras of reductive groups, addressing a previously identified gap to ensure mathematical accuracy.

Contribution

It provides necessary corrigenda and addenda to the earlier publication, clarifying and correcting the theoretical framework of support varieties in this context.

Findings

Identified and fixed a gap in the original theory

Enhanced the understanding of support varieties for non-restricted modules

Ensured the correctness of previous results

Abstract

This paper fixes a gap in my article "Support varieties of non-restricted modules over Lie algebras of reductive groups" pointed out to me by J.C. Jantzen. It was written several years ago, but never widely circulated.