Matchings in Corona graph and classical symmetric varieties
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915291330510848 |
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| author | Li, Yau Wing |
| author_facet | Li, Yau Wing |
| contents | We introduce an alternative combinatorial parametrization of Borel orbits in classical symmetric varieties using matchings of the Corona graph. As an application, we obtain ultra log-concavity and unimodality for the number of Borel orbits in Types AIII and CII. Moreover, we prove a conjecture of Can and Ugurlu concerning the non-integrality of the coefficients of the polynomial that interpolates the number of orbits in Type BI. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04581 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matchings in Corona graph and classical symmetric varieties Li, Yau Wing Combinatorics Representation Theory 14L30, 20G05 We introduce an alternative combinatorial parametrization of Borel orbits in classical symmetric varieties using matchings of the Corona graph. As an application, we obtain ultra log-concavity and unimodality for the number of Borel orbits in Types AIII and CII. Moreover, we prove a conjecture of Can and Ugurlu concerning the non-integrality of the coefficients of the polynomial that interpolates the number of orbits in Type BI. |
| title | Matchings in Corona graph and classical symmetric varieties |
| topic | Combinatorics Representation Theory 14L30, 20G05 |
| url | https://arxiv.org/abs/2505.04581 |