On classification of irreducible conformal \(\mathfrak{B}(p)\)-modules of finite rank

DOI10.1016/j.geomphys.2024.105132OpenAlexW4391978481MaRDI QIDQ6123216

Yumeng Zhan, Jianzhi Han

Publication date: 4 March 2024

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2024.105132

zbMATH Keywords

Virasoro conformal algebraLie conformal algebras of block typeconformal module of finite rank

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Cites Work

• Structure theory of finite conformal algebras
• Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
• Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond
• Finite irreducible modules of a class of \(\mathbb{Z}^+\)-graded Lie conformal algebras
• Unnamed Item