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arXiv · 2404.00281

Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials

Zong-Jun Yao·Shi-Hao Li
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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.

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Zong-Jun Yao, Shi-Hao Li. 2024-03-30. Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials. https://arxiv.org/abs/2404.00281

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