2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77607The symmetric group S_n possesses a nontrivial central extension, whose irreducible representations, different from the irreducible representations of S_n itself, coincide with the irreducible representations of a certain algebra A_n. Recently M.~Nazarov realized irreducible representations of A_n and Young symmetrizers by means of the Howe duality between the Lie superalgebra q(n) and the Hecke algebra H_n, the semidirect product of S_n with the Clifford algebra C_n on n indeterminates. Here I construct one more analog of Young symmetrizers in H_n as well as the analogs of Specht modules for A_n and H_n.9 p., LatexRepresentation Theory20C30 (Primary) 20C25, 17A70 (Secondary)text