The Highest Weight Property for the $SU_{q}(n)$ Invariant Spin Chains
High Energy Physics - Theory
2009-10-28 v3 Exactly Solvable and Integrable Systems
solv-int
Abstract
The generators are obtained as large spectral parameter limit of the Yang-Baxter operators in the integrable invariant vertex model. The commutation relations, including Serre relations, are obtained as limits of the Yang-Baxter equations. The recently found eigenvectors of the invariant spin chains are shown to be Highest Weight vectors of the corresponding quantum group.
Keywords
Cite
@article{arxiv.hep-th/9405023,
title = {The Highest Weight Property for the $SU_{q}(n)$ Invariant Spin Chains},
author = {H. J. de Vega and A. González--Ruiz},
journal= {arXiv preprint arXiv:hep-th/9405023},
year = {2009}
}
Comments
9 pages, Latex, LPTHE-PAR 94/13. (Two references added)