@article{Pan2022, 
author = {Yang Pan and Yanyong Hong},
title = {Varieties of a class of elementary subalgebras},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2084-2101},
keywords = {elementary subalgebras, commuting roots, irreducible components},
url = {https://www.sciopen.com/article/10.3934/math.2022119},
doi = {10.3934/math.2022119},
abstract = {Let    G be a connected standard simple algebraic group of type    C or    D over an algebraically closed field    k of positive characteristic    p  >  0, and        g    :=      L    i    e    (  G  ) be the Lie algebra of    G. Motivated by the variety of        E    (  r  ,      g    ) of    r-dimensional elementary subalgebras of a restricted Lie algebra        g  , in this paper we characterize the irreducible components of        E    (            r      k              p        (      g    )  −  1  ,      g    ) where the    p-rank              r      k              p        (      g    ) is defined to be the maximal dimension of an elementary subalgebra of        g  .}
}