2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77714Let A_k denote the twisted group algebra of the symmetric group S_k, whose representations correspond to the nonlinear projective representations of S_k. We establish a duality relation between A_k and a Lie superalgebra q(n), sometimes called the ``queer'' Lie superalgebra. This duality clarifies Schur's formula, in the sense that the Schur-Weyl duality clarifies Frobenius' formula.AMS-TeX, 22 pages, submitted to Journal of AlgebraRepresentation Theorytext