Non-weight modules over the affine-Virasoro algebra of type A1

DOI10.1063/1.5100918zbMath1416.81077arXiv1904.10334OpenAlexW3098653296MaRDI QIDQ5228056

Qiufan Chen, Jianzhi Han

Publication date: 8 August 2019

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

Full work available at URL: https://arxiv.org/abs/1904.10334

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70)

Related Items (6)

Skew-symmetric biderivations on the affine-Virasoro algebra of type A₁ and their applications ⋮ A new class of irreducible modules over the affine-Virasoro algebra of type \(A_1\) ⋮ Irreducible tensor product modules over the affine-Virasoro algebra of type A ₁ ⋮ U ( h ) -free modules over the topological N = 2 super-BMS3 algebra ⋮ Classification of simple locally finite modules over the affine-Virasoro algebras ⋮ Non-weight representations of Lie superalgebras of block type. I

Cites Work

• Unnamed Item
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• A new family of modules over the Virasoro algebra
• Representations of the affine-Virasoro algebra of type \(A_1\)
• Modules over the algebra \(\mathcal{V}ir(a,b)\)
• Blocks and modules for Whittaker pairs
• Classification of irreducible integrable representations for the full toroidal Lie algebras
• Irreducible modules over the Virasoro algebra
• Irreducible Virasoro modules from irreducible Weyl modules
• \(\mathcal{U}(\mathfrak{h})\)-free modules and coherent families
• Fock space representations of affine Lie algebras and integral representations in the Wess-Zumino-Witten models
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Non-weight modules over algebras related to the Virasoro algebra
• Irreducible representations for the affine-Virasoro Lie algebra of type \(B_l\)
• Irreducible representations for Virasoro-toroidal Lie algebras
• Irreducible Virasoro modules from tensor products. II
• Simple Virasoro modules which are locally finite over a positive part
• Simple \(\mathfrak{sl}_{n + 1}\)-module structures on \(\mathcal{U}(\mathfrak{h})\)
• \(\mathcal{W}_n^+\)- and \(\mathcal{W}_n\)-module structures on \(U(\mathfrak{h}_n)\)
• Finite conformal modules over N=2,3,4 superconformal algebras
• Simple Virasoro modules induced from codimension one subalgebras of the positive part
• A category of modules for the full toroidal Lie algebra
• Bosonic Fock representations of the affine-Virasoro algebra
• Module structures on $\bm{U(\h)}$ for Kac-Moody algebras
• Non-weight modules over the Heisenberg–Virasoro algebra and the W algebra W(2,2)

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