2-Local derivations on the W-algebra W(2,2)

DOI10.1142/S0219498821502376MaRDI QIDQ5024541

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Publication date: 26 January 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05627

zbMATH Keywords

derivation2-local derivationthin Lie algebra\(W\)-algebra \(W(2, 2)\)

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

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2-Local derivations on Schrödinger algebra in (2 + 1)- dimensional space-time, 2-Local superderivations on the Lie superalgebra of Block type, 2-Local superderivations on the deformative super W-algebras Wλs(2,2), 2-Local derivations on the planar Galilean conformal algebra, 2-local derivations on the Schrödinger algebra, Local derivations on the Lie algebra W (2, 2), Local properties of Jacobson-Witt algebras, \(\frac12\)-derivations of Lie algebras and transposed Poisson algebras, 2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra

Cites Work

• Left-symmetric algebra structures on the \(W\)-algebra \(W(2, 2)\)
• 2-local automorphisms of finite-dimensional simple Lie algebras
• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Verma modules over the \(W(2,2)\) algebras
• 2-local derivations on finite-dimensional Lie algebras
• SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE
• The superalgebra of W(2,2) and its modules of the intermediate series
• 2-Local derivations of infinite-dimensional Lie algebras
• The derivations, central extensions and automorphism group of the Lie algebra $W$
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Biderivations, linear commuting maps and commutative post-Lie algebra structures on W-algebras
• 2-Local derivations on Witt algebras
• 2-Local derivations on generalized Witt algebras
• Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra