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arXiv · 1707.00446

Varieties of elementary subalgebras of submaximal rank in type A

Yang Pan
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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.

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BibTeXRIS

Yang Pan. 2017-07-03. Varieties of elementary subalgebras of submaximal rank in type A. https://arxiv.org/abs/1707.00446

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