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

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

1994-05-04

arxiv.org/abs/hep-th/9405023v3

Phys.Lett. B332 (1994) 123-128

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex, LPTHE-PAR 94/13. (Two references added)

Scientific paper

10.1016/0370-2693(94)90868-0

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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