Cuspidal modules for the derivation Lie algebra over a rational quantum torus

DOI10.2989/16073606.2021.1895355OpenAlexW3137228598WikidataQ115224744 ScholiaQ115224744MaRDI QIDQ5081664

Chengkang Xu

Publication date: 17 June 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12504

zbMATH Keywords

derivation Lie algebracuspidal modulerational quantum torusmodule of tensor fields

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66)

Cites Work

• Unnamed Item
• Classification of irreducible representations of Lie algebra of vector fields on a torus
• The irreducible modules for the derivations of the rational quantum torus
• On certain categories of modules for affine Lie algebras
• Classification of simple cuspidal modules for solenoidal Lie algebras
• Irreducible representations for toroidal Lie algebras
• Representations of the Lie algebra of derivations for quantum torus
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• IRREDUCIBLE HARISH CHANDRA MODULES OVER THE DERIVATION ALGEBRAS OF RATIONAL QUANTUM TORI
• On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Modules of highest weight type for the algebra of derivations over a rational quantum torus
• Cuspidal modules for solenoidal Lie algebras over rational quantum tori

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