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December 2005 Some quotient algebras arising from the quantum toroidal algebra $U_{q}(sl_2(\mathcal{C}_{\gamma}))$
Kei Miki
Osaka J. Math. 42(4): 885-929 (December 2005).

Abstract

Some quotient algebras arising from the quantum toroidal algebra $U_{q}(\mathit{sl}_{2}(\mathcal{C}_{\gamma}))$ are considered. They are related to integrable highest weight representations of the algebra and are shown to be isomorphic to direct sums of tensor products of two algebras of symmetric Laurent polynomials and Macdonald's difference operators.

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Kei Miki. "Some quotient algebras arising from the quantum toroidal algebra $U_{q}(sl_2(\mathcal{C}_{\gamma}))$." Osaka J. Math. 42 (4) 885 - 929, December 2005.

Information

Published: December 2005
First available in Project Euclid: 21 July 2006

zbMATH: 1139.17006
MathSciNet: MR2195999

Rights: Copyright © 2005 Osaka University and Osaka City University, Departments of Mathematics

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Vol.42 • No. 4 • December 2005
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