Intermediate symplectic $Q$-functions
Combinatorics
2022-07-08 v1
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 J\'ozefiak-Pragacz-type Pfaffian formula of the Laurent polynomials.
Keywords
Cite
@article{arxiv.2207.03354,
title = {Intermediate symplectic $Q$-functions},
author = {Shintarou Yanagida},
journal= {arXiv preprint arXiv:2207.03354},
year = {2022}
}
Comments
14 pages, 1 figure