2-local derivations on the planar Galilean conformal algebra
Qiu-Fan Chen, Yan He
TL;DR
This paper proves that all 2-local derivations on the planar Galilean conformal algebra are actually derivations, establishing a key structural property of this algebra.
Contribution
It demonstrates that every 2-local derivation on the algebra is a derivation, revealing a rigidity property of the algebra's structure.
Findings
All 2-local derivations are derivations.
The result simplifies understanding of the algebra's derivation structure.
Provides insights into the algebra's symmetry properties.
Abstract
The present paper is devoted to studying 2-local derivations on the planar Galilean conformal algebra. We prove that every 2-local derivation on the planar Galilean conformal algebra is a derivation.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · Algebraic structures and combinatorial models