Abstract
The Temperley-Lieb algebra, using a new representation in terms of Young tableaux and in conjunction with Bruria Kaufman’s “eigenoperator method”, is applied to obtain new exact results for the Potts model. Cases in which q, the number of colours, is a “Beraha number” can apparently be solved completely. The Young tableaux representation of the Temperley-Lieb algebra is related to the Schensted construction. The connections with B. Kaufman’s “eigenoperator” approach are also discussed.
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