Some quotient algebras arising from the quantum toroidal algebra \(U_q(\mathrm{sl}_2(\mathcal{C}_{\gamma}))\)

zbMath1139.17006MaRDI QIDQ819476

Kei Miki

Publication date: 29 March 2006

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

quantum toroidal algebrasquotient algebrasMacdonald difference operators

Mathematics Subject Classification ID

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

Related Items (3)

On Hopf algebraic structures of quantum toroidal algebras ⋮ Actions of the quantum toroidal algebra of type sl2 on the space of vertex operators for Uq(gl2̂) modules ⋮ Some quotient algebras arising from the quantum toroidal algebra \(U_{q}(sl_{n+1}(\mathcal{C}_{\gamma}))\) \((n\geq 2)\)

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