2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106096A classic result of representation theory is Brauer's construction of a diagrammatical (geometrical) algebra whose matrix representation is a certain given matrix algebra, which is the commutating algebra of the enveloping algebra of the representation of the orthogonal group. The purpose of this paper is to provide a motivation for this result through the categorial notion of symmetric self-adjunction.11 pagesRepresentation TheoryCategory Theory14L24; 57M99; 20C99; 18A40text