Self-Adjunctions and Matrices

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dc.creatorDosen, K.
dc.creatorPetric, Z.
dc.date2001-11-06
dc.date2008-07-10
dc.date.accessioned2026-07-07T09:49:26Z
dc.date.available2026-07-07T09:49:26Z
dc.descriptionIt is shown that the multiplicative monoids of Temperley-Lieb algebras generated out of the basis 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 the Brauer representation of the Brauer centralizer algebra.
dc.description54 pages, minor corrections
dc.identifierhttps://arxiv.org/abs/math/0111058
dc.identifierhttp://arxiv.org/abs/math/0111058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164588
dc.subjectGeometric Topology
dc.subject57M99, 20F36, 18A40
dc.titleSelf-Adjunctions and Matrices
dc.typetext

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