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Local Derivations of the Schrödinger Algebras

Amir AlauadinovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Univesity Street, 9, Olmazor District, Tashkent, 100174, UzbekistanBakhtiyor YusupovDepartment of Physics and Mathematics, Urgench State University, H. Alimdjan Street, 14, Urgench 220100, Uzbekistan
Algebra Colloquiumjournal2025en

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The present paper is devoted to studying local derivations on the Schrödinger algebra which is a finite-dimensional, non-semisimple and non-solvable Lie algebra. We prove that every local derivation on the Schrödinger algebra is a derivation.

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