Classification of Harish-Chandra modules over the higher rank Virasoro algebras

DOI10.1007/s00220-003-0898-1zbMath1041.17026arXivmath/0304074OpenAlexW2027123684MaRDI QIDQ1416937

Yucai Su

Publication date: 16 December 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304074

Mathematics Subject Classification ID

Virasoro and related algebras (17B68)

Related Items (44)

Quasifinite representations of a family of Lie algebras of Block type ⋮ Weight modules over exp-polynomial Lie algebras ⋮ Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra ⋮ Quasifinite representations of a Lie algebra of Block type ⋮ Classification of irreducible Harish-Chandra modules over generalized Virasoro algebras ⋮ Representations of the affine-Virasoro algebra of type \(A_1\) ⋮ Derivations and Automorphism Group of Completed Witt Lie Algebra ⋮ Classification of quasifinite \({\mathcal W}_{\infty}\)-modules ⋮ 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 ⋮ $\mathcal{W}(a,b)$ Lie Conformal Algebra and Its Conformal Module of Rank One ⋮ Classification of ℤ²-graded modules of intermediate series over a Block-type Lie algebra ⋮ Shen-Larsson's modules for simple generalized Witt algebras ⋮ Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra ⋮ Quasifinite representations of a class of Block type Lie algebras \(\mathcal B(q)\) ⋮ Classification of quasifinite representations of a Lie algebra related to Block type ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ Indecomposable modules of the intermediate series over \(\mathcal W(a, b)\) ⋮ Harish-Chandra modules over generalized Heisenberg-Virasoro algebras ⋮ Representations of some quantum tori Lie subalgebras ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ Representations of the Quantized Weyl Algebra Associated to the Quantum Plane ⋮ Representations of the Derivation Algebra of the Localization of the Quantum Plane atq = −1 ⋮ Irreducible Quasi-Finite Representations of a Block Type Lie Algebra ⋮ Representations of the \(q\)-Klein-bottle Lie algebra ⋮ Classification of Indecomposable Modules of the Intermediate Series over Deformative Schrödinger-Virasoro Lie Algebras ⋮ Classification of irreducible quasifinite modules over map Virasoro algebras ⋮ Quasi-finite Irreducible Graded Modules for the Virasoro-like Algebra ⋮ Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle ⋮ Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra ⋮ Representations of a noncommutative associative algebra related to quantum torus of rank three. ⋮ Generalized Verma Modules over Lie Algebras of Weyl Type ⋮ Quasifinite modules of a Lie algebra related to Block type ⋮ Leibniz central extension on centerless twisted Schrödinger-Virasoro algebra ⋮ Harish-Chandra modules for divergence zero vector fields on a torus ⋮ Graded modules over the \(q\)-analog Virasoro-like algebra ⋮ Whittaker Modules over Generalized Virasoro Algebras ⋮ Structures of Not-finitely Graded Lie Algebras Related to Generalized Virasoro Algebras ⋮ Representations of the Schrödinger–Virasoro algebras ⋮ Classification of indecomposable modules of the intermediate series over the twisted N=2 superconformal algebra ⋮ Nonzero level Harish-Chandra modules over the Virasoro-like algebra ⋮ Classification of quasifinite modules over the Lie algebras of Weyl type. ⋮ Lie bialgebras of generalized loop Virasoro algebras

Cites Work

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• 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
• On indecomposable modules over the Virasoro algebra
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• New generalized simple Lie algebras of Cartan type over a field with characteristic 0
• SIMPLE MODULES OVER THE HIGH RANK VIRASORO ALGEBRAS
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Harish–Chandra modules of the intermediate series over the high rank Virasoro algebras and high rank super-Virasoro algebras
• Extended affine Lie algebras and their root systems
• Classification of harish-chandra modules over the super-virasoro algebras
• Simple modules over the higher-rank super-Virasoro algebras

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