Representations of the Quantized Weyl Algebra Associated to the Quantum Plane

DOI10.1142/S1005386705000684zbMath1090.16021MaRDI QIDQ5714714

Shangyuan Lin, Yue Zhu Wu

Publication date: 15 December 2005

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

zbMATH Keywords

representationsfiltrationsindecomposable modulesquantized Weyl algebrasquantum planes

Mathematics Subject Classification ID

Related Items (6)

Classification of irreducible weight modules with a finite-dimensional weight space over twisted Heisenberg-Virasoro algebra ⋮ Lie bialgebras of generalized Virasoro-like type ⋮ Verma Modules over a Block Lie Algebra ⋮ Representations of a Class of Non-commutative Associative Algebras Related to the Quantum Torus ⋮ Highest weight representations of a family of Lie algebras of Block type ⋮ Representations of a noncommutative associative algebra related to quantum torus of rank three.

Cites Work

• Structure of a new class of non-graded infinite-dimensional simple Lie algebras.
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• Simple algebras of Weyl type
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Representations of a class of lattice type vertex algebras
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Quasifinite representations of a Lie algebra of Block type
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Generalizations of the Block algebras
• STRUCTURE OF THE LIE ALGEBRAS RELATED TO THOSE OF BLOCK
• Structure of Algebras of Weyl Type
• A Class of Nongraded Simple Lie Algebras
• A q-analog for the virasoro algebra
• Derivations and structure of the Lie algebras of Xu type

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