Intermediate symplectic -functions
arXiv:2207.03354
Abstract
We introduce an intermediate family of Laurent polynomials between Schur's -functions and S. Okada's symplectic -functions. It can also be regarded as a -function analogue of Proctor's intermediate symplectic characters, and is named the family of intermediate symplectic -functions. We also derive a tableau-sum formula and a Józefiak-Pragacz-type Pfaffian formula of the Laurent polynomials.
14 pages, 1 figure