Ext-group in the category of quantum polynomial functors via the quantum Frobenius twist
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911158768762880 |
|---|---|
| author | Théo, Deturck |
| author_facet | Théo, Deturck |
| contents | We study the effect of a quantum Frobenius twist on Ext-groups in the category of quantum polynomial functors. We use quantum versions of the de Rham and Koszul complexes, and compute their homologies. We use them to do several Ext-computations, and obtain a formula to compute Ext-groups between two functors obtained via the Frobenius, in characteristic zero or in big enough characteristic. Finally, we make some advancements toward a general formula in arbitrary characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_05827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ext-group in the category of quantum polynomial functors via the quantum Frobenius twist Théo, Deturck Quantum Algebra Representation Theory We study the effect of a quantum Frobenius twist on Ext-groups in the category of quantum polynomial functors. We use quantum versions of the de Rham and Koszul complexes, and compute their homologies. We use them to do several Ext-computations, and obtain a formula to compute Ext-groups between two functors obtained via the Frobenius, in characteristic zero or in big enough characteristic. Finally, we make some advancements toward a general formula in arbitrary characteristic. |
| title | Ext-group in the category of quantum polynomial functors via the quantum Frobenius twist |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2506.05827 |