The Matrix of Chromatic Joins
نویسندگان
چکیده
منابع مشابه
The matrix of chromatic joins and the Temperley-Lieb algebra
We show that the matrix of chromatic joins, that is associated with the revised BirkhoffLewis equations, can be expressed completely in terms of functions defined on a generalization of the Temperley-Lieb algebra. We give a self-contained account of the aspects of the Temperley-Lieb algebra that are essential to this context since these are not easily obtainable in this form. Of interest in the...
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Rodica Simion noticed experimentally that matrices of chromatic joins (introduced by W. Tutte in [Tu2]) and the Gram matrix of the Temperley-Lieb algebra, have the same determinant, up to renormalization. In the type A case, she was able to prove this by comparing the known formulas: by Tutte and R. Dahab [Tu2, Dah], in the case of chromatic joins, and by P. Di Francesco, and B. Westbury [DiF, ...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1993
ISSN: 0095-8956
DOI: 10.1006/jctb.1993.1021