Quasi-derivations of infinite-dimensional Lie algebras
Quasi-derivations of infinite-dimensional Lie algebras
"Quasi-derivations of infinite-dimensional Lie algebras", organizado polo CITMAga en formato presencial. Será impartido por Abror Khudoyberdiyev (V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences).
Data: 15 de xaneiro de 2026
Hora: 12:00 h
Duración: 1 hora
Lugar: Aula 10 da Facultade de Matemáticas (USC)
Abstract:
In this talk, we investigate the quasi-derivations of the Witt, Virasoro algebras, and Heisenberg-Virasoro type algebras 𝒲(𝑎, 𝑏). We prove that every quasi-derivation of the Witt algebra decomposes asthe sum of a derivation and a '(—derivation and provide an analogous result for the Virasoro algebra. We fully characterize the quasi-derivations of the Lie algebras 𝒲(𝑎, 𝑏). As a corollary, we describe the derivations and quasiderivations of the Novikov-Witt and admissible Novikov-Witt algebras. Additionally, we explore 𝛿-derivations and transposed 𝛿-Poisson structures on these algebras.