Determinant formula and a realization for the Lie algebra \(W(2,2)\)

DOI10.1007/s11425-016-9046-1zbMath1434.17031OpenAlexW2745187180WikidataQ115378058 ScholiaQ115378058MaRDI QIDQ1635851

Wei Jiang, Yufeng Pei, Wei Zhang

Publication date: 1 June 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-016-9046-1

zbMATH Keywords

Lie algebrahighest weight representationVerma modulevertex algebra\(W(2,2)\) algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (1)

A category of restricted modules for the Ovisenko-Roger algebra

Cites Work

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• Bosonic ghost system and the Virasoro algebra
• Characters of the BMS group in three dimensions
• Highest-weight theory for truncated current Lie algebras
• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• Semi-infinite Weil complex and the Virasoro algebra
• Verma modules over the \(W(2,2)\) algebras
• Fock space representations of the Virasoro algebra. Intertwining operators
• Notes on the BMS group in three dimensions. II: Coadjoint representation
• The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
• GCA in 2d
• Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications
• On free field realizations of \(W(2,2)\)-modules
• Contractions and Polynomial Lie Algebras
• Representation Theory of the Virasoro Algebra
• On the structure of Verma modules over the W-algebra W(2,2)
• Subsingular vectors in Verma modules, and tensor product of weight modules over the twisted Heisenberg-Virasoro algebra and W(2, 2) algebra

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