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Derivations, 2-local derivations, biderivations and automorphisms of generalized Loop Heisenberg-Virasoro algebras

Published 25 Mar 2025 in math.RA | (2503.19247v1)

Abstract: In this paper, generalized Loop Heisenberg-Virasoro algebras are introduced. Firstly, we determine the derivations on generalized Loop Heisenberg-Virasoro algebras. Then we show that all 2-local derivations are derivations. Furthermore, we determine the biderivations on generalized Loop Heisenberg-Virasoro algebras are inner biderivations and give their applications. Finally, the automorphism groups on generalized Loop Heisenberg-Virasoro algebras are presented.

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