Intermediate symplectic Q-functions
Abstract
We introduce an intermediate family of Laurent polynomials between Schur's Q-functions and S. Okada's symplectic Q-functions. It can also be regarded as a Q-function analogue of Proctor's intermediate symplectic characters, and is named the family of intermediate symplectic Q-functions. We also derive a tableau-sum formula and a J\'ozefiak-Pragacz-type Pfaffian formula of the Laurent polynomials.
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