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2-Local Derivations on Symmetrizable Kac-Moody Lie Algebras

摘要 We establish that every 2-local inner derivation on a symmetrizable Kac-Moody Lie algebra g(A)over the field C is a derivation.In addition,we demonstrate that if dim(g(A)/g(A)')≥ 2,where g(A)'=[g(A),g(A)]is the derived subalgebra of g(A),then g(A)admits a 2-local derivation which is not a derivation.

doi： 10.1142/S1005386726000209

刊名代数集刊（英文版） SCI

年，卷(期)： 2026, 33(2)

分类号： 16W25 17A36 17B40 17B65 17B67

Keywords derivations local derivations symmetrizable Kac-Moody Lie algebras

在线出版日期： 2026年7月17日

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