Some quotient algebras arising from the quantum toroidal algebra \(U_{q}(sl_{n+1}(\mathcal{C}_{\gamma}))\) \((n\geq 2)\)
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Publication:925712
zbMath1136.17305MaRDI QIDQ925712
Publication date: 22 May 2008
Published in: Osaka Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.ojm/1165850041
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
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Cites Work
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- Schur duality in the toroidal setting
- Some quotient algebras arising from the quantum toroidal algebra \(U_q(\mathrm{sl}_2(\mathcal{C}_{\gamma}))\)
- Toroidal Lie algebras and vertex representations
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Double-loop algebras and the Fock space
- Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\)
- Braid group action and quantum affine algebras
- Toroidal actions on level 1 modules of \(U_q(\widehat{sl}_n)\)
- Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
- A class of integrable modules for the core of EALA coordinatized by quantum tori
- Integrable irreducible highest weight modules for \(\mathrm{sl}_2(\mathbb C_p[x^{\pm 1},y^{\pm 1})\)]
- Langlands reciprocity for algebraic surfaces
- Quantum tori and the structure of elliptic quasi-simple Lie algebras
- Representations of the quantum toroidal algebra on highest weight modules of the quantum affine algebra of type \({\mathfrak {gl}}_N\)
- Representations of quantum affinizations and fusion product
- Representations of quantum toroidal algebra Uq(sln+1,tor) (n⩾2)
- Quantum toroidal algebra Uq(sl2,tor) and R matrices
- A New Class of Representations of EALA Coordinated by Quantum Tori in Two Variables
- Imaginary Verma Modules for the Extended Affine Lie Algebrasl2(ℂq)
- Introduction to quantum groups
- Quantum toroidal algebras and their vertex representations
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