A Faithful Representation of Temperley-Lieb Algebras in Matrices
نویسندگان
چکیده
It is shown that Temperley-Lieb algebras in which the multiplicative generators satisfy hihi = nhi for n ≥ 2 can be isomorphically represented in matrices. Mathematics Subject Classification (2000): 57M99, 15A03, 16G99, 05C50
منابع مشابه
The representation theory of cyclotomic Temperley-Lieb algebras
A class of associative algebras called cyclotomic Temperley-Lieb algebras is introduced in terms of generators and relations. They are closely related to the group algebras of complex reflection groups on one hand and generalizations of the usual Temperley-Lieb algebras on the other hand. It is shown that the cyclotomic Temperley-Lieb algebras can be defined by means of labelled Temperley-Lieb ...
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