Automorphisms of the nilpotent subalgebra $ N\Phi (K) $ Chevalley algebra of symplectic type
The Bulletin of Irkutsk State University. Series Mathematics, Tome 13 (2015), pp. 41-55
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We study automorphisms of the nilpotent subalgebra $ N \Phi (K) $ of the Chevalley algebra associated with a root system $\Phi$ over associative commutative ring $ K $ with the identity. In the present paper the automorphism group $Aut \ (N\Phi(K))$ is described for the symplectic type.
Keywords:
Chevalley algebra, Lie ring
Mots-clés : nilpotent subalgebra, automorphism.
Mots-clés : nilpotent subalgebra, automorphism.
@article{IIGUM_2015_13_a3,
author = {A. V. Litavrin},
title = {Automorphisms of the nilpotent subalgebra $ N\Phi (K) $ {Chevalley} algebra of symplectic type},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {41--55},
publisher = {mathdoc},
volume = {13},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2015_13_a3/}
}
TY - JOUR AU - A. V. Litavrin TI - Automorphisms of the nilpotent subalgebra $ N\Phi (K) $ Chevalley algebra of symplectic type JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2015 SP - 41 EP - 55 VL - 13 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIGUM_2015_13_a3/ LA - ru ID - IIGUM_2015_13_a3 ER -
%0 Journal Article %A A. V. Litavrin %T Automorphisms of the nilpotent subalgebra $ N\Phi (K) $ Chevalley algebra of symplectic type %J The Bulletin of Irkutsk State University. Series Mathematics %D 2015 %P 41-55 %V 13 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2015_13_a3/ %G ru %F IIGUM_2015_13_a3
A. V. Litavrin. Automorphisms of the nilpotent subalgebra $ N\Phi (K) $ Chevalley algebra of symplectic type. The Bulletin of Irkutsk State University. Series Mathematics, Tome 13 (2015), pp. 41-55. http://geodesic.mathdoc.fr/item/IIGUM_2015_13_a3/