Geodesic
Varieties of Elementary Subalgebras of Submaximal Rank in Type A
Journal of Lie theory, Tome 28 (2018) no. 1, pp. 57-7
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\def\g{{\frak g}} \def\E{\mathbb E} Let $G$ be a connected simple algebraic group over an algebraically closed field {\bf k} of characteristic $p>0$, and $\g$ = lie$(G)$. We additionally assume that $G$ is standard and is of type $A_{n}$. 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 $\E({\rm rk}_p(\g)-1,\g)$ when rk$_p(\g)$ is the maximal dimension of an elementary subalgebra of $\g$.
Classification : 17B50, 16G10
Mots-clés : Elementary subalgebras, irreducible components 
@article{JLT_2018_28_1_JLT_2018_28_1_a3,
     author = {Y. Pan},
     title = {Varieties of {Elementary} {Subalgebras} of {Submaximal} {Rank} in {Type} {A}},
     journal = {Journal of Lie theory},
     pages = {57--7},
     year = {2018},
     volume = {28},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_1_JLT_2018_28_1_a3/}
}
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Y. Pan. Varieties of Elementary Subalgebras of Submaximal Rank in Type A. Journal of Lie theory, Tome 28 (2018) no. 1, pp. 57-7. http://geodesic.mathdoc.fr/item/JLT_2018_28_1_JLT_2018_28_1_a3/