Pfaffian Formulas and Schur Q-Function Identities
Combinatorics
2021-02-08 v1
Abstract
We establish Pfaffian analogues of the Cauchy--Binet formula and the Ishikawa--Wakayama minor-summation formula. Each of these Pfaffian analogues expresses a sum of products of subpfaffians of two skew-symmetric matrices in terms of a single Pfaffian. By using these Pfaffian formulas we give new transparent proofs to several identities for Schur Q23 pa-functions.
Cite
@article{arxiv.1706.01029,
title = {Pfaffian Formulas and Schur Q-Function Identities},
author = {Soichi Okada},
journal= {arXiv preprint arXiv:1706.01029},
year = {2021}
}
Comments
23 pages