Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra
Xuelian Guo, Liming Tang
TL;DR
This paper characterizes derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra, establishing that all 2-local derivations are derivations, thus deepening understanding of its algebraic structure.
Contribution
It explicitly determines the derivations on the mirror Heisenberg-Virasoro algebra and proves that all 2-local derivations are derivations, a novel result in this context.
Findings
All derivations are characterized via first cohomology.
Every 2-local derivation is a derivation.
Provides a complete description of derivations on the algebra.
Abstract
Using the first cohomology from the mirror Heisenberg-Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg-Virasoro algebra-module), in this paper we determined the derivations on the mirror Heisenberg-Virasoro algebra. Based on this result, we proved that any 2-local derivation on the mirror Heisenberg-Virasoro algebra is a derivation.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons