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arXiv · 1503.01043

Varieties of elementary subalgebras of maximal dimension for modular Lie algebras

Julia Pevtsova·Jim Stark
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Abstract

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

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Julia Pevtsova, Jim Stark. 2015-03-03. Varieties of elementary subalgebras of maximal dimension for modular Lie algebras. https://arxiv.org/abs/1503.01043

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