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Intermediate symplectic $Q$-functions
Shintarou Yanagida · 2022-07-07 · via math.CO updates on arXiv.org

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 Józefiak-Pragacz-type Pfaffian formula of the Laurent polynomials.

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