A class of new simple modules for \(\mathfrak{sl}_{n + 1}\) and the Witt algebra
From MaRDI portal
Publication:2330321
DOI10.1016/j.jalgebra.2019.09.011zbMath1469.17006OpenAlexW2975436533MaRDI QIDQ2330321
Publication date: 28 October 2019
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2019.09.011
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Virasoro and related algebras (17B68) Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (6)
A class of non-weight modules of \(U_p(\mathfrak{s} \mathfrak{l}_2)\) and Clebsch-Gordan type formulas ⋮ Module structures on \(U(S^-)\) for the Schrödinger algebra ⋮ Non-weight representations of Lie superalgebras of Block type. II ⋮ Irreducible \(Y(\mathfrak{gl}_{n+1})\)-module structures on a commutative subalgebra ⋮ Non-weight representations of Lie superalgebras of block type. I ⋮ Exponentiation and Fourier transform of tensor modules of \(\mathfrak{sl}(n+1)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Irreducible Virasoro modules from tensor products
- Classification of irreducible representations of Lie algebra of vector fields on a torus
- Irreducible Virasoro modules from irreducible Weyl modules
- Classification of simple weight Virasoro modules with a finite-dimensional weight space
- \(\mathcal{U}(\mathfrak{h})\)-free modules and coherent families
- Categorification of (induced) cell modules and the rough structure of generalised Verma modules
- On modules induced from Whittaker modules
- Classification of Harish-Chandra modules over the Virasoro Lie algebra
- On Whittaker vectors and representation theory
- A class of representations over the Virasoro algebra
- Irreducible modules over Witt algebras \(\mathcal {W}_{n}\) and over \(\mathfrak {sl}_{n+1}(\mathbb {C})\)
- Generalized Verma modules over \(\mathfrak{sl}_{n + 2}\) induced from \(\mathcal{U}(\mathfrak{h}_n)\)-free \(\mathfrak{sl}_{n + 1}\)-modules
- Verma modules over generalized Virasoro algebras Vir[\(G\)]
- Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
- Classification of irreducible weight modules
- Irreducible Virasoro modules from tensor products. II
- A family of simple weight modules over the Virasoro algebra
- 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
- Tensor product weight modules over the Virasoro algebra
- Supports of weight modules over Witt algebras
- New irreducible weight modules over Witt algebras with infinite-dimensional weight spaces
- WHITTAKER MODULES FOR THE VIRASORO ALGEBRA
- Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
- Simple Witt modules that are finitely generated over the cartan subalgebra
- A Module Induced from a Whittaker Module
- Generalized Verma modules induced from \(sl(2,\mathbb{C})\) and associated Verma modules
This page was built for publication: A class of new simple modules for \(\mathfrak{sl}_{n + 1}\) and the Witt algebra
