Varieties of elementary subalgebras of submaximal rank in type A
Representation Theory
2017-07-04 v1
Abstract
Let G be a connected simple algebraic group over an algebraically closed field k of characteristic p > 0, and g := Lie(G). We additionally assume that G is standard and is of type An. Motivated by the investigation of the geometric properties of the varieties E(r, g) of r-dimensional elementary subalgebras of a restricted Lie algebra g, we will show in this article the irreducible components of E(rkp(g)-1,g) when rkp(g) is the maximal dimension of an elementary subalgebra of g.
Keywords
Cite
@article{arxiv.1707.00446,
title = {Varieties of elementary subalgebras of submaximal rank in type A},
author = {Yang Pan},
journal= {arXiv preprint arXiv:1707.00446},
year = {2017}
}