Geodesic
Niltriangular subalgebras of the Chevalley algebras and their generalizations
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 2, pp. 37-46

Voir la notice de l'article provenant de la source Math-Net.Ru

We study some problems concerned with ideals and automorphisms of niltriangular subalgebras of classical Lie type Chevalley algebras over a field $K$ and of their non-finitary generalizations and also automorphisms of adjoint group. We characterize (for Lie type $A_{n-1})$ every Lie ideal of algebra $NT(n,K)$ of all niltriangular $n\times n$ matrices by a selection of constants from $K$. When $K=GF(q)$, this gives a combinatorial expression of number of Lie ideals and, for a simple $q$, also the number of normal subgroups in unitriangular group $UT(n,q)$. 
@article{VMJ_2015_17_2_a5,
     author = {V. M. Levchuk and A. V. Litavrin and N. D. Hodyunya and V. V. Tsigankov},
     title = {Niltriangular subalgebras of the {Chevalley} algebras and their generalizations},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {37--46},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_2_a5/}
}
TY  - JOUR
AU  - V. M. Levchuk
AU  - A. V. Litavrin
AU  - N. D. Hodyunya
AU  - V. V. Tsigankov
TI  - Niltriangular subalgebras of the Chevalley algebras and their generalizations
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2015
SP  - 37
EP  - 46
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMJ_2015_17_2_a5/
LA  - ru
ID  - VMJ_2015_17_2_a5
ER  - 
%0 Journal Article
%A V. M. Levchuk
%A A. V. Litavrin
%A N. D. Hodyunya
%A V. V. Tsigankov
%T Niltriangular subalgebras of the Chevalley algebras and their generalizations
%J Vladikavkazskij matematičeskij žurnal
%D 2015
%P 37-46
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMJ_2015_17_2_a5/
%G ru
%F VMJ_2015_17_2_a5
V. M. Levchuk; A. V. Litavrin; N. D. Hodyunya; V. V. Tsigankov. Niltriangular subalgebras of the Chevalley algebras and their generalizations. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 2, pp. 37-46. http://geodesic.mathdoc.fr/item/VMJ_2015_17_2_a5/