Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials
Combinatorics
2024-04-02 v1
Abstract
In this paper, we mainly consider a combinatoric explanation for block Pfaffians in terms of non-intersecting paths, as a generalization of results obtained by Stembridge. As applications, we demonstrate how are generating functions of non-intersecting paths related to skew orthogonal polynomials and their deformations, including a new concept called multiple partial-skew orthogonal polynomials.
Cite
@article{arxiv.2404.00281,
title = {Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials},
author = {Zong-Jun Yao and Shi-Hao Li},
journal= {arXiv preprint arXiv:2404.00281},
year = {2024}
}
Comments
22 pages, 4 figures