Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type

DOI10.1016/j.jalgebra.2019.05.002zbMath1448.17013arXiv2005.05378OpenAlexW2945726836WikidataQ115350542 ScholiaQ115350542MaRDI QIDQ2419477

Chunguang Xia

Publication date: 13 June 2019

Published in: Journal of Algebra, Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05378

zbMATH Keywords

Lie conformal superalgebracomposition factorLie conformal algebrasfinite conformal moduleNeveu-Schwarz conformal algebra\(N = 2\) conformal superalgebra

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)

Related Items (10)

Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras ⋮ The Heisenberg-Virasoro Lie conformal superalgebra ⋮ Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type ⋮ Non-weight representations of Lie superalgebras of Block type. II ⋮ Non-weight representations of Lie superalgebras of block type. I ⋮ Representations of the associated Lie conformal algebra of the \(\mathcal{W}_{1 + \infty}\) algebra and beyond ⋮ Conformal super-biderivations on Lie conformal superalgebras ⋮ Finite irreducible conformal modules over the Lie conformal superalgebra \(\mathcal{S}(p)\) ⋮ Representations of twisted infinite Lie conformal superalgebras ⋮ Transposed Poisson structures on Block Lie algebras and superalgebras

Cites Work

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• Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type
• Classification of quasifinite representations of a Lie algebra related to Block type
• Finite conformal modules over N=2,3,4 superconformal algebras
• Infinite rank Schrödinger-Virasoro type Lie conformal algebras
• STRUCTURE THEORY OF FINITE LIE CONFORMAL SUPERALGEBRAS
• Irreducible representations of the exceptional Cheng-Kac superalgebra
• Representations of simple finite Lie conformal superalgebras of type W and S
• Irreducible modules over finite simple Lie conformal superalgebras of type K

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