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Automorphisms of the nilpotent subalgebra $ N\Phi (K) $ Chevalley algebra of symplectic type

A. V. Litavrin

Siberian Federal University, 79, Svobodny, Krasnoyarsk, 660041

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.

UDC: 512.54+512.55