Tensor Product Weight Representations of the Neveu–Schwarz Algebra

DOI10.1080/00927872.2014.923898zbMath1377.17024arXiv1310.8371OpenAlexW2209209207MaRDI QIDQ3448258

Xiu Fu Zhang

Publication date: 23 October 2015

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

Full work available at URL: https://arxiv.org/abs/1310.8371

zbMATH Keywords

isomorphismirreducible moduleindecomposable moduleNeveu-Schwarz algebratensor product module

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68)

Related Items (2)

Classification of simple weight modules for super-Virasoro algebra with a finite-dimensional weight space ⋮ Tensor product weight modules of Schrödinger-Virasoro algebras

Cites Work

• Irreducible Virasoro modules from irreducible Weyl modules
• Classification of simple weight Virasoro modules with a finite-dimensional weight space
• Unitary representations of the Virasoro and super-Virasoro algebras
• A sketch of Lie superalgebra theory
• A class of representations over the Virasoro algebra
• On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
• Representation theory of Neveu-Schwarz and Ramond algebras. II: Fock modules.
• Representations of the Virasoro algebra. I
• Irreducible Virasoro modules from tensor products. II
• Fraction representations and highest-weight-like representations of the Virasoro algebra
• Simple Virasoro modules which are locally finite over a positive part
• Tensor product weight modules over the Virasoro algebra
• Classification of Simple Weight Modules for the Neveu–Schwarz Algebra with a Finite-Dimensional Weight Space
• Classification of harish-chandra modules over the super-virasoro algebras
• Lie superalgebras

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