Singular vectors of quantum group representations for straight Lie algebra roots
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Publication:1181255
DOI10.1007/BF00405600zbMath0743.17019WikidataQ115395023 ScholiaQ115395023MaRDI QIDQ1181255
Publication date: 27 June 1992
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
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Related Items (12)
Invariant differential operators for non-compact Lie algebras parabolically related to conformal Lie algebras ⋮ Shapovalov elements of classical and quantum groups ⋮ INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS: PARABOLIC SUBALGEBRAS ⋮ Differential calculi on some quantum prehomogeneous vector spaces ⋮ Irregular Uq (sl(3)) representations at roots of unity via Gel’fand–(Weyl)–Zetlin basis ⋮ Irrational free field resolutions for \(W(sl(n))\) and extended Sugawara construction ⋮ Three lectures on quantum groups: Representations, duality, real forms ⋮ Witt vectors. Part 1 ⋮ Solutions of the Knizhnik-Zamolodchikov equation with rational isospins and the reduction to the minimal models ⋮ \(q\)-difference intertwining operators and \(q\)-conformal invariant equations ⋮ Positive energy unitary irreducible representations of the superalgebra osp(1|8,R) ⋮ Differential equations and singular vectors in Verma modules over \(\mathfrak{sl}(n, \mathbb{C})\)
Cites Work
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- Central extensions of quantum current groups
- Hidden quantum group symmetry and integrable perturbations of conformal field theories
- The quantum group structure of 2D gravity and minimal models. I
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- Some algebraic structures connected with the Yang-Baxter equation
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Multiplet classification of the indecomposable highest weight modules over the Neveu-Schwarz and Ramond superalgebras
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Structure of representations with highest weight of infinite-dimensional Lie algebras
- Commutators, anti-commutators and Eulerian calculus
- Singular vectors in Verma modules over Kac-Moody algebras
- Structure of representations generated by vectors of highest weight
- Elementary representations and intertwining operators for SU(2, 2). I
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