Classification of finite irreducible conformal modules over Lie conformal algebra \(\mathcal{W}(a,b,r)\)

DOI10.3934/era.2020123OpenAlexW3109546571WikidataQ115219065 ScholiaQ115219065MaRDI QIDQ2030418

Yanyan Li

Publication date: 7 June 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020123

zbMATH Keywords

irreducibleLie conformal algebrasfinite conformal modules

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)

Cites Work

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• Structures of \(W(2,2)\) Lie conformal algebra
• Lie conformal algebra cohomology and the variational complex
• 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
• $\mathcal{W}(a,b)$ 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
• Cohomology of Heisenberg-Virasoro conformal algebra
• Vertex algebras, Kac-Moody algebras, and the Monster
• Classification of compatible left-symmetric conformal algebraic structures on the Lie conformal algebra W(a,b)
• Finite irreducible modules of Lie conformal algebras 𝒲(a,b) and some Schrödinger–Virasoro type Lie conformal algebras
• Extensions of modules over a class of Lie conformal algebras 𝒲(b)
• Extensions of modules over the Heisenberg–Virasoro conformal algebra

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