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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.19636 |
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| _version_ | 1866918511491678208 |
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| author | Deturck, Théo |
| author_facet | Deturck, Théo |
| contents | We study the effect of quantum Frobenius twist on Ext-groups in the category of quantum polynomial, and prove that the existence of type of complexes, called quantum Troesch complexes, enables the construction of a spectral sequence computing the Ext groups of twisted functors from the knowledge of Ext-groups of the original functors. We then construct quantum Troesch complexes in the special case where the parameters of the quantum deformation is a root of unity of order 3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19636 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantum Troesch complex Deturck, Théo Quantum Algebra Representation Theory We study the effect of quantum Frobenius twist on Ext-groups in the category of quantum polynomial, and prove that the existence of type of complexes, called quantum Troesch complexes, enables the construction of a spectral sequence computing the Ext groups of twisted functors from the knowledge of Ext-groups of the original functors. We then construct quantum Troesch complexes in the special case where the parameters of the quantum deformation is a root of unity of order 3. |
| title | Quantum Troesch complex |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2605.19636 |