Ore's theorem for thick subcategories
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866915970021326848 |
|---|---|
| author | Gratz, Sira Stevenson, Greg |
| author_facet | Gratz, Sira Stevenson, Greg |
| contents | We characterize those finite groups for which the bounded derived category of finite dimensional representations over an algebraically closed field of characteristic $p$ has distributive lattice of thick subcategories: they are precisely the $p$-nilpotent groups. Along the way we give necessary and sufficient criteria for the bounded derived category and perfect complexes of a finite dimensional $k$-algebra to have distributive lattices of thick subcategories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19123 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ore's theorem for thick subcategories Gratz, Sira Stevenson, Greg Representation Theory Category Theory We characterize those finite groups for which the bounded derived category of finite dimensional representations over an algebraically closed field of characteristic $p$ has distributive lattice of thick subcategories: they are precisely the $p$-nilpotent groups. Along the way we give necessary and sufficient criteria for the bounded derived category and perfect complexes of a finite dimensional $k$-algebra to have distributive lattices of thick subcategories. |
| title | Ore's theorem for thick subcategories |
| topic | Representation Theory Category Theory |
| url | https://arxiv.org/abs/2604.19123 |