The superalgebra of W(2,2) and its modules of the intermediate series

DOI10.1080/00927872.2016.1175450zbMath1406.17030OpenAlexW2529251474MaRDI QIDQ2976191

Zhiqi Chen, Qiaozhi Geng, Yan Wang

Publication date: 28 April 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1175450

zbMATH Keywords

Lie superalgebraBalinsky-Novikov superalgebrasuperalgebra of \(W(2,2)\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Lie-admissible algebras (17D25)

Related Items (3)

Classification of simple Harish–Chandra modules over the Ovsienko–Roger superalgebra ⋮ Unnamed Item ⋮ 2-Local derivations on the W-algebra W(2,2)

Cites Work

• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Classification of the Virasoro, the Neveu-Schwarz, and the Ramond-type simple Lie superalgebras
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• \(q\)-deformation of \(W(2, 2)\) Lie algebra associated with quantum groups
• Classification of Balinsky–Novikov superalgebras with dimension 2|2
• BALINSKY–NOVIKOV SUPERALGEBRAS AND SOME INFINITE-DIMENSIONAL LIE SUPERALGEBRAS
• Classification of irreducible weight modules over W-algebra W(2,2)
• Beltrami algebra and symmetry of the Beltrami equation on Riemann surfaces
• On the structure of Verma modules over the W-algebra W(2,2)

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