Automorphisms of the Nilpotent Subalgebra $ N \Phi (K) $ Chevalley Algebra of Symplectic Type

Abstract

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
• nilpotent subalgebra
• Lie ring
• automorphism