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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2406.12861 |
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| _version_ | 1866913397284536320 |
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| author | Mingueza, David Montoro, M. Eulàlia Roca, Alicia |
| author_facet | Mingueza, David Montoro, M. Eulàlia Roca, Alicia |
| contents | Given two nilpotent endomorphisms, we determine when their lattices of hyperinvariant subspaces are isomorphic. The study of the lattice of hyperinvariant subspaces can be reduced to the nilpotent case when the endomorphism has a Jordan-Chevalley decomposition; for example, it occurs if the underlying field is the field of complex numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12861 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isomorphisms between lattices of hyperinvariant subspaces Mingueza, David Montoro, M. Eulàlia Roca, Alicia Rings and Algebras Given two nilpotent endomorphisms, we determine when their lattices of hyperinvariant subspaces are isomorphic. The study of the lattice of hyperinvariant subspaces can be reduced to the nilpotent case when the endomorphism has a Jordan-Chevalley decomposition; for example, it occurs if the underlying field is the field of complex numbers. |
| title | Isomorphisms between lattices of hyperinvariant subspaces |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2406.12861 |