Varieties of elementary subalgebras of maximal dimension for modular Lie algebras

@article{Pevtsova2015VarietiesOE,
  title={Varieties of elementary subalgebras of maximal dimension for modular Lie algebras},
  author={J. Pevtsova and Jim Stark},
  journal={arXiv: Representation Theory},
  year={2015}
}
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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