Self-adjunctions and matrices |
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Authors: | Kosta Došen Zoran Petri? |
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Institution: | Mathematical Institute, SANU, Knez Mihailova 35, P.O. Box 367, 11001 Belgrade, Yugoslavia |
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Abstract: | 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. This self-adjunction underlies the orthogonal group case of Brauer's representation of the Brauer centralizer algebras. |
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Keywords: | 57M99 20F36 18A40 |
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