2-Local derivations on a Block-type Lie algebra
Qiufan Chen, Xiaohan Guo
TL;DR
This paper proves that all 2-local derivations on the infinite-dimensional Block-type Lie algebra are actual derivations, enhancing understanding of its algebraic structure.
Contribution
It establishes that every 2-local derivation on the Block-type Lie algebra is necessarily a derivation, a new result in the study of infinite-dimensional Lie algebras.
Findings
All 2-local derivations are derivations on the algebra.
The algebra has outer derivations.
The result clarifies the structure of derivations on this algebra.
Abstract
The present paper is devoted to study 2-local derivations on the Block-type Lie algebra which is an infinite-dimensional Lie algebra with some outer derivations. We prove that every 2-local derivation on the Block-type Lie algebra is a derivation.
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Taxonomy
TopicsAdvanced Topics in Algebra · Nonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems