Representations of the Derivation Algebra of the Localization of the Quantum Plane atq = −1

DOI10.1080/00927870500274499zbMath1134.17305arXivmath/0511554OpenAlexW1981864957MaRDI QIDQ5719276

Yucai Su, Lin Sheng Zhu

Publication date: 18 January 2006

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

Full work available at URL: https://arxiv.org/abs/math/0511554

zbMATH Keywords

quantum planederivation algebramodule of the intermediate series

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (1)

Simple modules for modular Lie superalgebras \(W(0|n)\), \(S(0|n)\), and \(K(n)\)

Cites Work

• The \(q\)-Virasoro-like algebra
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• Derivation algebras of centerless perfect Lie algebras are complete
• CLASSIFICATION OF INFINITE DIMENSIONAL WEIGHT MODULES OVER THE LIE SUPERALGEBRAsl(2/1)
• Harish–Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras
• A q-analog for the virasoro algebra
• Representations of the virasoro-like algebra and itsq-Analog
• The derivation algebra of the associative algebra C_q[X,Y,X^-1,Y^-1*]
• Weight modules over generalized Witt algebras with 1-dimensional weight spaces

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