2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra

DOI10.1080/00927872.2021.1946072zbMath1489.17016arXiv2008.10900OpenAlexW3181479462MaRDI QIDQ5860712

Dong Liu, Munayim Dilxat, Shoulan Gao

Publication date: 22 November 2021

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10900

zbMATH Keywords

Lie superalgebrasuper Virasoro algebra2-local superderivation

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (7)

2-Local derivations on Schrödinger algebra in (2 + 1)- dimensional space-time ⋮ 2-Local superderivations on the deformative super W-algebras Wλs(2,2) ⋮ 2-Local derivations on the planar Galilean conformal algebra ⋮ Super-biderivations and post-Lie superalgebras on some Lie superalgebras ⋮ Whittaker modules for the N = 1 super-BMS₃ algebra ⋮ 2-Local superderivations on infinite-dimensional Lie superalgebras ⋮ Local derivations on the Lie algebra W (2, 2)

Cites Work

• Supersymmetric extension of GCA in 2d
• The theory of Lie superalgebras. An introduction
• Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules.
• Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.
• Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra
• Simple restricted modules for Neveu-Schwarz algebra
• 2-local derivations on finite-dimensional Lie algebras
• 2-Local derivations of infinite-dimensional Lie algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Some algebraic properties of the supersymmetric extension of GCA in 2d
• 2-Local derivations on Witt algebras
• 2-Local derivations on the W-algebra W(2,2)
• The first cohomology of N = 1 super Virasoro algebras
• Whittaker modules for the super-Virasoro algebras
• Lie superalgebras

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