Intermediate symplectic QQ-functions

preprint2022arXivOpen access

Abstract

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

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