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

2025/03/25 by Ren, Qingyan, Tang, Liming
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2503.19247

Abstract

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

Related

• Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra
• Derivations, automorphisms and second cohomology of generalized loop Schrödinger-Virasoro algebras
• 2-local derivations on the twisted Heisenberg-Virasoro algebra
• Derivations and 2-local derivations on the mirror Heisenberg-Virasoro algebra
• Biderivations of the twisted Heisenberg-Virasoro algebra and their applications