Geodesic
Varieties of Elementary Subalgebras of Submaximal Rank in Type A
Yang Pan1, 2
1School of Sciences, Zhejiang A&F University, Huanbei Road 88, 311300 Hangzhou, P.R.China
2Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany
Journal of Lie Theory, Tome 28 (2018) no. 1, pp. 57-70

Voir la notice de l'article provenant de la source Heldermann Verlag

\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

Yang Pan  1 , 2

1 School of Sciences, Zhejiang A&F University, Huanbei Road 88, 311300 Hangzhou, P.R.China
2 Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, 24098 Kiel, Germany 
Yang Pan. Varieties of Elementary Subalgebras of Submaximal Rank in Type A. Journal of Lie Theory, Tome 28 (2018) no. 1, pp. 57-70. http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a3/
@article{JOLT_2018_28_1_a3,
     author = {Yang Pan},
     title = {Varieties of {Elementary} {Subalgebras} of {Submaximal} {Rank} in {Type} {A}},
     journal = {Journal of Lie Theory},
     pages = {57--70},
     year = {2018},
     volume = {28},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a3/}
}
TY  - JOUR
AU  - Yang Pan
TI  - Varieties of Elementary Subalgebras of Submaximal Rank in Type A
JO  - Journal of Lie Theory
PY  - 2018
SP  - 57
EP  - 70
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a3/
ID  - JOLT_2018_28_1_a3
ER  - 
%0 Journal Article
%A Yang Pan
%T Varieties of Elementary Subalgebras of Submaximal Rank in Type A
%J Journal of Lie Theory
%D 2018
%P 57-70
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2018_28_1_a3/
%F JOLT_2018_28_1_a3