Singular vectors in Verma modules over Kac-Moody algebras
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Publication:1821188
DOI10.1007/BF01077264zbMath0616.17010WikidataQ62597957 ScholiaQ62597957MaRDI QIDQ1821188
Fyodor Malikov, Dmitry Fuchs, Boris L. Feigin
Publication date: 1986
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
Related Items (36)
Unnamed Item ⋮ On the relevance of some constructions of highest weight modules over (super-) Kac-Moody algebras (In connection with a paper by Wakimoto) ⋮ Differential-operator representations of Weyl group and singular vectors in Verma modules ⋮ On a Koszul complex related to the principal subspace of the basic vacuum module for \(A_1^{(1)}\) ⋮ Logarithmic lift of the \(\widehat{\text{su}}(2)_{-1/2}\) model ⋮ Irreducible highest weight modules and equivariant quantization ⋮ Analytic expression for singular vectors of the \(N=2\) superconformal algebra ⋮ Shapovalov elements and Hasse diagrams ⋮ Enright functors for Kac-Moody superalgebras ⋮ Shapovalov elements of classical and quantum groups ⋮ Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules ⋮ Subregular W-algebras of type A ⋮ Macdonald index and chiral algebra ⋮ Modular data and Verlinde formulae for fractional level WZW models. II ⋮ Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models ⋮ Differential-operator representations of \(S_n\) and singular vectors in Verma modules ⋮ A computer algorithm for the BGG resolution ⋮ Staggered and affine Kac modules over \(A_1^{(1)}\) ⋮ Singular vectors of quantum group representations for straight Lie algebra roots ⋮ String correlators on \(\mathrm{AdS}_3\): four-point functions ⋮ Toward logarithmic extensions of \(\widehat{s\ell}(2)_k\) conformal field models ⋮ New Weyl groups for \(A_ 1^{(1)}\) and characters of singular highest weight modules ⋮ Cohomology of some nilpotent subalgebras of the Virasoro and Kac-Moody Lie algebras ⋮ A Weyl group for the Virasoro and \(N=1\) super-Virasoro algebras ⋮ \(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study ⋮ An invariant subbundle of the KZ connection mod \(p\) and reducibility of \(\widehat{{\mathfrak{sl}_2}}\) Verma modules mod \(p\) ⋮ Three-point functions in \(\mathrm{AdS}_3/\mathrm{CFT}_2\) holography ⋮ Differential Equations for Singular Vectors ofsp(2n) ⋮ The isomorphism between two-dimensional conformal field theories with the affine-\(sl(2)\) and the \(N=2\) superconformal symmetry algebras ⋮ How to regularize singular vectors and kill the dynamical Weyl group ⋮ Representations of infinite-dimensional algebras and conformal field theory: From \(N=2\) to \(\widehat{sl} (2|1)\) ⋮ Twisted de Rham complex on line and singular vectors in \(\widehat{\mathfrak{sl}_2}\) Verma modules ⋮ Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras ⋮ The \(\overline{\text{su}}(2)_{-1/2}\) WZW model and the \(\beta\gamma\) system ⋮ Differential equations and singular vectors in Verma modules over \(\mathfrak{sl}(n, \mathbb{C})\) ⋮ On the representation theory of the vertex algebra L−5/2(sl(4))
Cites Work
- Infinite dimensional Lie algebras. An introduction
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Structure of representations with highest weight of infinite-dimensional Lie algebras
- Fixed points of diffeomorphisms of two-dimensional spheres preserving an oriented plane
- Highest Weight Modules Over Graded Lie Algebras: Resolutions, Filtrations and Character Formulas
- Unnamed Item
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