Intermediate symplectic Q-functions

2022/07/07 by Shintarou Yanagida, Yanagida, Shintarou
Mathematics · #Advanced Combinatorial Mathematics #Advanced Algebra and Geometry #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2207.03354

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

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