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In this paper,we use entangled states to construct 9 × 9-matrix representations of Temperley-Lieb algebra(TLA),then a family of 9× 9-matrix representations of Birman-Wenzl-Murakami algebra(BWMA) have been presented.Based on which,three topological basis states have been found.And we apply topological basis states to recast ninedimensional BWMA into its three-dimensional counterpart.Finally,we find the topological basis states are spin singlet states in special case. 相似文献
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