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Paper   IPM / Physic / 7088
School of Physics
  Title:   A Generalization of the Temperely-Lieb Algebra
  Author(s):  S. Rouhani
  Status:   Preprint
  No.:  0
  Year:  1993
  Supported by:  IPM
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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