SIMPLE MODULES OVER THE HIGH RANK VIRASORO ALGEBRAS

DOI10.1081/AGB-100002169zbMath0987.17013OpenAlexW2012070854MaRDI QIDQ2755370

Yucai Su

Publication date: 24 June 2002

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

Full work available at URL: https://doi.org/10.1081/agb-100002169

zbMATH Keywords

module of the intermediate seriesGHW modulehigh rank Virasoro algebrasuniformly bounded module

Mathematics Subject Classification ID

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

Related Items (18)

Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Classification of irreducible weight modules over higher rank Virasoro algebras ⋮ Classification of irreducible representations of Lie algebra of vector fields on a torus ⋮ Derivation algebra and automorphism group of generalized topological \(N=2\) superconformal algebra ⋮ Classification of simple cuspidal modules for solenoidal Lie algebras ⋮ Bounded weight modules over the Lie superalgebra of Cartan \(W\)-type ⋮ Tensor modules over Witt superalgebras ⋮ Second cohomology group of extended \(W\)-algebras ⋮ Classification of simple bounded weight modules of the Lie algebra of vector fields on \(\mathbb{C}^n\) ⋮ Classification of quasifinite representations of a Lie algebra related to Block type ⋮ Classification of Harish-Chandra modules over the higher rank Virasoro algebras ⋮ Indecomposable modules of the intermediate series over \(\mathcal W(a, b)\) ⋮ Simple weight modules with finite-dimensional weight spaces over Witt superalgebras ⋮ Classification of irreducible quasifinite modules over map Virasoro algebras ⋮ Some representations of nongraded Lie algebras of generalized Witt type ⋮ Nonzero level Harish-Chandra modules over the Virasoro-like algebra ⋮ On indecomposable modules over the Virasoro algebra ⋮ Lie bialgebras of generalized loop Virasoro algebras

Cites Work

• Indecomposable modules over the Virasoro Lie algebra and a conjecture of V. Kac
• The higher rank Virasoro algebras
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• A classification of indecomposable \(sl_ 2(\mathbb{C})\)-modules and a conjecture of Kac on irreducible modules over the Virasoro algebra
• Harish–Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras
• Classification of harish-chandra modules over the super-virasoro algebras

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