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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.00281 |
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| _version_ | 1866914736198647808 |
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| author | Yao, Zong-Jun Li, Shi-Hao |
| author_facet | Yao, Zong-Jun Li, Shi-Hao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00281 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials Yao, Zong-Jun Li, Shi-Hao Combinatorics 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. |
| title | Non-intersecting path explanation for block Pfaffians and applications into skew-orthogonal polynomials |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2404.00281 |