Skew Group Algebras, (Fg) and Self-injective Rad-Cube-Zero Algebras
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910713084116992 |
|---|---|
| author | Sandøy, Mads Hustad |
| author_facet | Sandøy, Mads Hustad |
| contents | We classify self-injective radical cube zero algebras with respect to whether they satisfy certain finite generation conditions sufficient to have a fruitful theory of support varieties defined via Hochschild cohomology in the vein of (Erdmann et al, 2004) and (Snashall and Solberg, 2004). Using skew group algebras and Linckelmann's notion of separable equivalence, we obtain results that complement the existing partial classification of (Said, 2015) and complete the classification begun in (Erdmann and Solberg, 2011) and (Said, 2015) up to assumptions on the characteristic of the field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Skew Group Algebras, (Fg) and Self-injective Rad-Cube-Zero Algebras Sandøy, Mads Hustad Representation Theory 16D50, 16E40, 16S35 We classify self-injective radical cube zero algebras with respect to whether they satisfy certain finite generation conditions sufficient to have a fruitful theory of support varieties defined via Hochschild cohomology in the vein of (Erdmann et al, 2004) and (Snashall and Solberg, 2004). Using skew group algebras and Linckelmann's notion of separable equivalence, we obtain results that complement the existing partial classification of (Said, 2015) and complete the classification begun in (Erdmann and Solberg, 2011) and (Said, 2015) up to assumptions on the characteristic of the field. |
| title | Skew Group Algebras, (Fg) and Self-injective Rad-Cube-Zero Algebras |
| topic | Representation Theory 16D50, 16E40, 16S35 |
| url | https://arxiv.org/abs/2411.16179 |