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2-Local Derivations on Symmetrizable Kac-Moody Lie Algebras | Synapse

May 14, 2026

2-Local Derivations on Symmetrizable Kac-Moody Lie Algebras

Key Points

This research aims to characterize the behavior of 2-local inner derivations in symmetrizable Kac-Moody Lie algebras.
Theoretical analysis of 2-local inner derivations in algebraic structures.
Examination of conditions for a derived subalgebra and its impact on derivations.
Every 2-local inner derivation on the algebra is shown to be a derivation.
An example is provided where the derived subalgebra allows a 2-local derivation which is not a derivation.

Abstract

We establish that every 2-local inner derivation on a symmetrizable Kac-Moody Lie algebra Formula: see text over the field Formula: see text is a derivation. In addition, we demonstrate that if Formula: see text, where Formula: see text is the derived subalgebra of Formula: see text, then Formula: see text admits a 2-local derivation which is not a derivation.

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Cite This Study

Nehra et al. (Wed,) studied this question.

synapsesocial.com/papers/6a0567d2a550a87e60a20105 https://doi.org/https://doi.org/10.1142/s1005386726000209