2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217635Generalizing the work of Farahat-Higman on symmetric groups, we describe the structures of the even centers Z_n of integral spin symmetric group superalgebras, which lead to universal algebras termed as the spin FH-algebras. A connection between the odd Jucys-Murphy elements and the Catalan numbers is developed and then used to determine the algebra generators of the spin FH-algebras and of the even centers Z_n.18 pages, v2, added a new reference with comments in 1.3, minor changes, to appear in J. Algebraic CombinatoricsCombinatoricsQuantum AlgebraRepresentation Theorytext