Determinantal and Pfaffian identities for ninth variation skew Schur functions and Q-functions

Recently Okada defined algebraically ninth variation skew Q-functions, in parallel to Macdonald’s Schur functions. Here we introduce a shifted tableaux definition of these and prove by means non-intersecting lattice path model Pfaffian outside decomposition result the form version Hamel’s identity. As corollaries this derive identities generalising those Józefiak–Pragacz, Nimmo, most recently Okada. preamble present development based on (unshifted) semistandard that leads determinantal identity Hamel Goulden. In case offer include function Jacobi–Trudi, Giambelli, Lascoux–Pragacz, Stembridge,