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math.RA2024
Infinitesmal deformations and central extensions of the -th Schrödinger algebra
Doston Jumaniyozov, Surayyo Sheraliyeva
In this paper we study the second cohomology space for the -th Schrödinger algebra . We prove that the second cohomology space is vanishing for and…
math.RA2024
Local derivation on the -th Schr{ö}dinger algebra
Amir Alauadinov, Bakhtiyor Yusupov, Doston Jumaniyozov
This paper is devoted to study local derivations on the -th Schr{ö}dinger algebra We prove that every local derivation on is a derivation.
math.RA2024
Local derivations and automorphisms of nilpotent Lie algebra
Abror Khudoyberdiyev, Doston Jumaniyozov
The paper is devoted to the study of local derivations and automorphisms of nilpotent Lie algebras. Namely, we proved that nilpotent Lie algebras with indices of nilpotency and…