Symmetric Self-Adjunctions and Matrices Export

@misc{citeulike:3015814, abstract = {It is shown that the multiplicative monoids of Brauer's centralizer algebras generated out of the basis are isomorphic to monoids of endomorphisms in categories where an endofunctor is adjoint to itself, and where, moreover, a kind of symmetry involving the self-adjoint functor is satisfied. As in a previous paper, of which this is a companion, it is shown that such a symmetric 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.}, archivePrefix = {arXiv}, author = {Dosen, K. and Petric, Z.}, citeulike-article-id = {3015814}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0510039}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0510039}, day = {16}, eprint = {math/0510039}, keywords = {category-theory, mathematics}, month = {Jul}, posted-at = {2008-07-17 22:21:14}, priority = {2}, title = {Symmetric Self-Adjunctions and Matrices}, url = {http://arxiv.org/abs/math/0510039}, year = {2008} }

TY - ELEC ID - citeulike:3015814 L3 - citeulike-article-id:3015814 N2 - It is shown that the multiplicative monoids of Brauer's centralizer algebras generated out of the basis are isomorphic to monoids of endomorphisms in categories where an endofunctor is adjoint to itself, and where, moreover, a kind of symmetry involving the self-adjoint functor is satisfied. As in a previous paper, of which this is a companion, it is shown that such a symmetric 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. TI - Symmetric Self-Adjunctions and Matrices KW - category-theory KW - mathematics AU - Dosen, K AU - Petric, Z PY - 2008/Jul/16/ UR - http://arxiv.org/abs/math/0510039 ER -