Abstract

Motivated by questions in modular representation theory, Carlson, Friedlander, and the first author introduced the varieties \(\mathbb E(r, \mathfrak g)\) of r-dimensional abelian p-nilpotent subalgebras of a p-restricted Lie algebra \(\mathfrak g\) in [8]. In this paper, we identify the varieties \(\mathbb E(r, \mathfrak g)\) for a reductive restricted Lie algebra \(\mathfrak g\) and r the maximal dimension of an abelian p-nilpotent subalgebra of \(\mathfrak g\).

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