Fraction representations and highest-weight-like representations of the Virasoro algebra

DOI10.1016/j.jalgebra.2013.04.012zbMath1316.17016OpenAlexW2003357269MaRDI QIDQ2438888

Xiangqian Guo, Rencai Lü, Kaiming Zhao

Publication date: 7 March 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.04.012

zbMATH Keywords

Virasoro algebrafractional representationshighest-weight-like representationsnon-weight representation

Mathematics Subject Classification ID

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

Related Items (24)

A new family of modules over the Virasoro algebra ⋮ Irreducible Virasoro modules from tensor products ⋮ Tensor Product Weight Representations of the Neveu–Schwarz Algebra ⋮ Modules induced from polynomial subalgebras of the Virasoro algebra ⋮ Simple Virasoro modules induced from codimension one subalgebras of the positive part ⋮ A family of simple weight modules over the Virasoro algebra ⋮ New simple Virasoro modules from Weyl algebra modules ⋮ Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\) ⋮ Non-weight modules over the block type algebra \(\mathcal{B}^\prime(p, q)\) ⋮ New irreducible non-weight Virasoro modules from tensor products ⋮ Non-weight modules over \(N = 1\) Lie superalgebras of Block type ⋮ -Differential operators and -differential modules for the Virasoro algebra ⋮ Weight modules over a class of graded Lie algebras ⋮ A class of simple non-weight modules over the virasoro algebra ⋮ Classification of simple weight modules for super-Virasoro algebra with a finite-dimensional weight space ⋮ \(U(\mathfrak{h})\)-free modules over the block algebra \(\mathcal{B}(q)\) ⋮ n-Point Virasoro algebras and their modules of densities ⋮ Non-weight modules over the Heisenberg–Virasoro algebra and the W algebra W(2,2) ⋮ Simple Virasoro modules which are locally finite over a positive part ⋮ \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\) ⋮ A class of simple weight Virasoro modules ⋮ Irreducible Virasoro modules from irreducible Weyl modules ⋮ Generalized polynomial modules over the Virasoro algebra ⋮ A new class of irreducible Virasoro modules from tensor product

Cites Work

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• Classification of simple weight Virasoro modules with a finite-dimensional weight space
• The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• A class of representations over the Virasoro algebra
• Representations of the Virasoro algebra. I
• A family of simple weight modules over the Virasoro algebra
• Simple Virasoro modules which are locally finite over a positive part
• A class of simple weight Virasoro modules
• Whittaker pairs for the Virasoro algebra and the Gaiotto-Bonelli-Maruyoshi-Tanzini states
• Tensor product weight modules over the Virasoro algebra
• Representation Theory of the Virasoro Algebra
• Simple Virasoro modules induced from codimension one subalgebras of the positive part
• WHITTAKER MODULES FOR THE VIRASORO ALGEBRA

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