Pfaffians and Determinants for SchurQ-Functions

SchurQ-functions were originally introduced by Schur in relation to projective representations of the symmetric group, and they can be defined combinatorially in terms of shifted tableaux. In this paper we describe planar decompositions of shifted tableaux into strips and use the shapes of these strips to generate pfaffians and determinants that are equal to SchurQ-functions. As special cases we obtain the classical pfaffian associated with SchurQ-functions, a pfaffian for skewQ-functions due to Jozefiak and Pragacz, and a determinantal expression of Okada.