Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.10648 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917591295983616 |
|---|---|
| author | Yu, Teresa |
| author_facet | Yu, Teresa |
| contents | We study generalizations of Schur functors from categories consisting of flags of vector spaces. We give different descriptions of the category of such functors in terms of representations of certain combinatorial categories and infinite rank groups, and we apply these descriptions to study polynomial representations and representation stability of parabolic subgroups of general linear groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10648 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polynomial functors on flags Yu, Teresa Representation Theory 20G05, 15A69 We study generalizations of Schur functors from categories consisting of flags of vector spaces. We give different descriptions of the category of such functors in terms of representations of certain combinatorial categories and infinite rank groups, and we apply these descriptions to study polynomial representations and representation stability of parabolic subgroups of general linear groups. |
| title | Polynomial functors on flags |
| topic | Representation Theory 20G05, 15A69 |
| url | https://arxiv.org/abs/2402.10648 |