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The Highest Weight Property for the $SU_{q}(n)$ Invariant Spin Chains

H. J. de Vega·A. González--Ruiz
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Abstract

The $SU_{q}(n)$ generators are obtained as large spectral parameter limit of the Yang-Baxter operators in the integrable $SU_{q}(n)$ invariant vertex model. The commutation relations, including Serre relations, are obtained as limits of the Yang-Baxter equations. The recently found eigenvectors of the $SU_{q}(n)$ invariant spin chains are shown to be Highest Weight vectors of the corresponding quantum group.

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H. J. de Vega, A. González--Ruiz. 1994-08-09. The Highest Weight Property for the $SU_{q}(n)$ Invariant Spin Chains. https://doi.org/10.1016/0370-2693(94)90868-0

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