Simple restricted modules over the \(N = 1\) Ramond algebra as weak modules for vertex operator superalgebras

DOI10.1016/j.jalgebra.2023.01.010OpenAlexW4318052155MaRDI QIDQ2689191

Yanyan Li

Publication date: 9 March 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06520

zbMATH Keywords

simple modulevertex operator superalgebrarestricted module\(N = 1\) Ramond algebra

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)

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Representations of the BMS-Kac-Moody algebra ⋮ Irreducible modules for super-Virasoro algebras from algebraic D-modules

Cites Work

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• A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras
• The structure of pre-Verma modules over the \(N = 1\) Ramond algebra
• Whittaker modules for the affine Lie algebra \(A_1^{(1)}\)
• Multiplet classification of the indecomposable highest weight modules over the Neveu-Schwarz and Ramond superalgebras
• Representation theory of Neveu-Schwarz and Ramond algebras. I: Verma modules.
• Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.
• Introduction to vertex operator algebras and their representations
• Local systems of vertex operators, vertex superalgebras and modules
• Simple restricted modules for the Heisenberg-Virasoro algebra
• Some modules over Lie algebras related to the Virasoro algebra
• Classification of simple Harish-Chandra modules over the \(N=1\) Ramond algebra
• A family of non-weight modules over the super-Virasoro algebras
• Simple restricted modules for Neveu-Schwarz algebra
• Classification of simple weight modules over the 1-spatial ageing algebra
• New simple modules for the Heisenberg-Virasoro algebra
• Simple Virasoro modules which are locally finite over a positive part
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• Classification of harish-chandra modules over the super-virasoro algebras
• Irreducible modules over the mirror Heisenberg–Virasoro algebra
• Whittaker modules for the super-Virasoro algebras
• Classification of irreducible weak modules over Virasoro vertex operator algebras