Strongly Periodic Modules and Perverse Autoequivalences
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866929676414353408 |
|---|---|
| author | Dabson, Alfred |
| author_facet | Dabson, Alfred |
| contents | We introduce a notion of strong periodicity of a module over a finite-dimensional algebra over a field. We prove that the existence of such modules over certain idempotent algebras is both a necessary and sufficient condition for the existence of a two-step self-perverse equivalence of a finite-dimensional algebra. We survey some applications to the setting of the symmetric groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07990 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strongly Periodic Modules and Perverse Autoequivalences Dabson, Alfred Representation Theory We introduce a notion of strong periodicity of a module over a finite-dimensional algebra over a field. We prove that the existence of such modules over certain idempotent algebras is both a necessary and sufficient condition for the existence of a two-step self-perverse equivalence of a finite-dimensional algebra. We survey some applications to the setting of the symmetric groups. |
| title | Strongly Periodic Modules and Perverse Autoequivalences |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2501.07990 |