Temperely-Lieb Algebras and the Four-Color Theorem
نویسندگان
چکیده
The Temperley-Lieb algebra T n with parameter 2 is the associative algebra
منابع مشابه
Temperley-lieb Algebras and the Four-color Theorem
The Temperley-Lieb algebra Tn with parameter 2 is the associative algebra over Q generated by 1, e0, e1, . . . , en, where the generators satisfy the relations ei = 2ei, eiejei = ei if |i − j| = 1 and eiej = ejei if |i − j| ≥ 2. We use the Four Color Theorem to give a necessary and sufficient condition for certain elements of Tn to be nonzero. It turns out that the characterization is, in fact,...
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The braid groups map homomorphically into the Temperley-Lieb algebras. Recently, Zinno showed that the homomorphic images of the simple elements arising from the dual presentation of the braid groups form a basis for the vector space underlying the Temperley-Lieb algebras. We give a simple geometric proof of his theorem, using a new presentation of the Temperley-Lieb algebras that corresponds t...
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ورودعنوان ژورنال:
- Combinatorica
دوره 23 شماره
صفحات -
تاریخ انتشار 2003