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Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra (2306.14159v1)

Published 25 Jun 2023 in math.RA

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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