Finite irreducible conformal modules of rank two Lie conformal algebras

DOI10.1142/S0219498821501450zbMath1478.17009arXiv2105.13651WikidataQ115245588 ScholiaQ115245588MaRDI QIDQ5157751

Yanyong Hong, Maosen Xu, Zhi Xiang Wu

Publication date: 20 October 2021

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

Full work available at URL: https://arxiv.org/abs/2105.13651

zbMATH Keywords

conformal modulerank two Lie conformal algebrasemisimple Lie conformal algebra

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)

Related Items

Compatible left-symmetric conformal algebras on W(a, b), Finite irreducible modules of a class of \(\mathbb{Z}^+\)-graded Lie conformal algebras

Cites Work

• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type
• Leibniz conformal algebras of rank two
• The Ado theorem for finite Lie conformal algebras with Levi decomposition
• Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra
• Finite irreducible modules of Lie conformal algebras 𝒲(a,b) and some Schrödinger–Virasoro type Lie conformal algebras
• Theory of finite pseudoalgebras
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