Solutions of the Yang-Baxter Equation and Temperley-Lieb Algebraic Structure |
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| Authors: | Lu-Yu WANG Yu CAI Han-Ying GUO Shao-Ming FEI |
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| Affiliation: | 1. Department of Physics, Xinjiang Universrty, Urumqi 830046, China;2. Institute of Theoretical Physics, Academia Sinica, P. O. Box 2735, Beijing 100080, China |
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| Abstract: | The necessary and sufficient condition for the representations of Temperley-Lieb algebra arising from representations of Heck algebra is presented. Using the condition, the representations of braid group with a quadratic reduction relation are divided into two kinds. One has a representation of Temperley-Lieb algebra behind it and another has not. Some concrete examples are discussed with the condition and their Baxterizations are also mentioned. |
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