Jordan types commuting with a hook partition
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866916052802207744 |
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| author | Khatami, Leila Košir, Tomaž |
| author_facet | Khatami, Leila Košir, Tomaž |
| contents | We give a complete classification of the Jordan types occurring in the nilpotent commutator of a nilpotent matrix whose Jordan type is a hook partition. As a consequence, we also show that two partitions with the same generic commuting Jordan type need not commute with each other. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_27692 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Jordan types commuting with a hook partition Khatami, Leila Košir, Tomaž Commutative Algebra Algebraic Geometry Combinatorics 15A27 (Primary) 05A17, 13E10, 14A10 (Secondary) We give a complete classification of the Jordan types occurring in the nilpotent commutator of a nilpotent matrix whose Jordan type is a hook partition. As a consequence, we also show that two partitions with the same generic commuting Jordan type need not commute with each other. |
| title | Jordan types commuting with a hook partition |
| topic | Commutative Algebra Algebraic Geometry Combinatorics 15A27 (Primary) 05A17, 13E10, 14A10 (Secondary) |
| url | https://arxiv.org/abs/2605.27692 |