Finite irreducible modules of Lie conformal algebras 𝒲(a,b) and some Schrödinger–Virasoro type Lie conformal algebras

DOI10.1142/S0129167X19500265MaRDI QIDQ5222844

Lipeng Luo, Yanyong Hong, Zhi Xiang Wu

Publication date: 4 July 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08380

zbMATH Keywords

irreducibleconformal moduleconformal 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

Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras, Compatible left-symmetric conformal algebras on W(a, b), Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras, Unnamed Item, Finite irreducible conformal modules of rank two Lie conformal algebras, Classification of finite irreducible conformal modules over Lie conformal algebra \(\mathcal{W}(a,b,r)\), Finite irreducible conformal modules over the Lie conformal superalgebra \(\mathcal{S}(p)\)

Cites Work

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• Infinite conformal symmetry in two-dimensional quantum field theory
• Structure theory of finite conformal algebras
• Cohomology of conformal algebras
• Conformal modules
• Poisson vertex algebras in the theory of Hamiltonian equations
• A class of Schrödinger–Virasoro type Lie conformal algebras
• $\mathcal{W}(a,b)$ Lie Conformal Algebra and Its Conformal Module of Rank One
• Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra
• On Schrödinger-Virasoro type Lie conformal algebras
• Schrödinger-Virasoro Lie conformal algebra