Non-weight modules over \(N = 1\) Lie superalgebras of Block type

DOI10.1515/FORUM-2022-0267MaRDI QIDQ6073704

Qiang Xie, JianCai Sun

Publication date: 18 September 2023

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

non-weight moduleNeveu-Schwarz algebras of Block typeRamond algebras of Block type

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (2)

Non-weight representations of Lie superalgebras of Block type. II ⋮ Irreducible modules over \(N = 2\) superconformal algebras arising from algebraic D-modules

Cites Work

• Modules over the algebra \(\mathcal{V}ir(a,b)\)
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• New representations of affine Kac-Moody algebras
• A family of non-weight modules over the super-Virasoro algebras
• Fraction representations and highest-weight-like representations of the Virasoro algebra
• Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
• On classification of quasifinite representations of two classes of Lie superalgebras of block type
• On Torsion-Free Abelian Groups and Lie Algebras
• A q-analog for the virasoro algebra
• Classification of harish-chandra modules over the super-virasoro algebras
• Whittaker modules for the super-Virasoro algebras
• Block (or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld–Sokolov Hierarchy

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