A new class of irreducible modules over the affine-Virasoro algebra of type \(A_1\)
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Publication:2161160
DOI10.1016/J.JALGEBRA.2022.05.023zbMath1500.17022arXiv2111.11884OpenAlexW3217292794MaRDI QIDQ2161160
Publication date: 4 August 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.11884
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)
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Cites Work
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- Irreducible Virasoro modules from tensor products
- 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
- \(\mathcal{U}(\mathfrak{h})\)-free modules and coherent families
- Fock space representations of affine Lie algebras and integral representations in the Wess-Zumino-Witten models
- Conformal modules
- A class of representations over the Virasoro algebra
- Irreducible representations for the affine-Virasoro Lie algebra of type \(B_l\)
- Irreducible representations for Virasoro-toroidal Lie algebras
- New irreducible tensor product modules for the Virasoro algebra
- Two classes of non-weight modules over the twisted Heisenberg-Virasoro algebra
- 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 \(U(\mathfrak{h}_n)\)
- A class of simple weight Virasoro modules
- Finite conformal modules over N=2,3,4 superconformal algebras
- Tensor product weight modules over the Virasoro algebra
- 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 affine-Virasoro algebra of type A1
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