Central elements of the elliptic monodromy matrix algebra at roots of unity |
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| Authors: | Wen-Li Yang Alexander Belavin Ryu Sasaki |
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| Affiliation: | aInstitute of Modern Physics, Northwest University, Xian 710069, PR China;bDepartment of Mathematics, University of Queensland, Brisbane, QLD 4072, Australia;cLandau Institute for Theoretical Physics, Chernogolovka 142432, Russia;dYukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | The central elements of the algebra of monodromy matrices associated with the R-matrix are studied. When the crossing parameter w takes a special rational value , where N and n are positive coprime integers, the center is substantially larger than that in the generic case for which the “quantum determinant” provides the center. In the trigonometric limit, the situation corresponds to the quantum group at roots of unity. This is a higher rank generalization of the recent results by Belavin and Jimbo. |
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| Keywords: | Integrable models Elliptical quantum group and quantum group Central elements |
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