“School of Physic”
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| Paper IPM / Physic / 7088 | ||||||||||||||||
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We present a multi-parametric generalization of the Temperley-Lieb algebra, which leads to new solution of the Yang-Baxter equation. Using a graphical representation we find a recursive formula for the number of elements of this algebra. This new algebra is used to find the number of independent words of arbitrary length for the Tempereley-Lieb algebra. This new algebra leads to new skein relations.
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