Toroidal and level 0 Uq′(sln+1∧) actions on Uq(gln+1∧) modules
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Publication:4701915
DOI10.1063/1.533078zbMath0959.17016arXivmath/9808023OpenAlexW1795231606MaRDI QIDQ4701915
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9808023
Related Items
Actions of the quantum toroidal algebra of type sl2 on the space of vertex operators for Uq(gl2̂) modules, Vertex representations of quantum N-toroidal algebras for type C, Quantum toroidal algebra associated with \(\mathfrak{gl}_{m|n}\), Braid actions on quantum toroidal superalgebras, On Guay's evaluation map for affine Yangians, Towards trigonometric deformation of sl^2 coset VOA, Finite dimensional modules over quantum toroidal algebras, Evaluation modules for quantum toroidal \(\mathfrak{gl}_n\) algebras, Twisted quantum affinizations and quantization of extended affine lie algebras
Cites Work
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- Double-loop algebras and the Fock space
- Quantum affine algebras
- Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
- Braid group action and quantum affine algebras
- Drinfeld comultiplication and vertex operators
- Toroidal actions on level 1 modules of \(U_q(\widehat{sl}_n)\)
- Double affine Hecke algebras and Macdonald's conjectures
- Langlands reciprocity for algebraic surfaces
- Decomposition of \(q\)-deformed Fock spaces
- Quantum toroidal algebras and their vertex representations
