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arXiv · 1803.06281

Description of 2-local derivations on some Lie rings of skew-adjoint matrices

Shavkat Ayupov·Farhodjon Arzikulov
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Abstract

In the present paper we prove that every 2-local inner derivation on the Lie ring of skew-symmetric matrices over a commutative ring is an inner derivation. We also apply our technique to various Lie algebras of infinite dimensional skew-adjoint matrix-valued maps on a set and prove that every 2-local spatial derivation on such algebras is a spatial derivation.

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Shavkat Ayupov, Farhodjon Arzikulov. 2018-03-16. Description of 2-local derivations on some Lie rings of skew-adjoint matrices. https://arxiv.org/abs/1803.06281

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