DETERMINANTAL FORMS FOR COMPOSITE SCHUR AND Q-FUNCTIONS VIA THE BOSON-FERMION CORRESPONDENCE

The boson-fermion correspondence is used to represent a composite Schur function as a fermionic expectation value, Wick's theorem then enables it to be written as a determinant, generalizing the Giambelli formula for ordinary Schur functions as single-hook determinants. The Schur Q-function analogue, recently introduced in the context of the BKP hierarchy, is also given.