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Toroidal braid group action and an automorphism of toroidal algebra \(U_q(sl_{n+1,\text{tor}})\) \((n\geqq 2)\). (English) Zbl 1022.17009
From the text: Utilizing an action of a modification of the double affine Hecke braid group of type \(\text{gl}_n+1\), we obtain an automorphism of the toroidal algebra \(U_q(\text{sl}_{n+1,\text{tor}})\) \((n\geq 2)\) introduced by V. Ginzburg, M. M. Kapranov and E. Vasserot [Math. Res. Lett. 2, 147-160 (1995; Zbl 0914.11040)] and M. Varagnolo and E. Vasserot [Commun. Math. Phys. 182, 469-483 (1996; Zbl 0879.17007)].

17B37 Quantum groups (quantized enveloping algebras) and related deformations
81R50 Quantum groups and related algebraic methods applied to problems in quantum theory
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