Self-Adjunctions and Matrices
نویسندگان
چکیده
It is shown that the multiplicative monoids of Temperley-Lieb algebras are isomorphic to monoids of endomorphisms in categories where an endofunctor is adjoint to itself. Such a self-adjunction is found in a category whose arrows are matrices, and the functor adjoint to itself is based on the Kronecker product of matrices. Thereby one obtains a representation of braid groups in matrices, which, though different and presumably new, is related to the standard representation of braid groups in Temperley-Lieb algebras. Mathematics Subject Classification (2000): 57M99, 20M05, 18A40
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تاریخ انتشار 2008