A Cousin Complex for the Quantum Projective Space
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913747539329024 |
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| author | Kremnizer, Kobi Ssevviiri, David |
| author_facet | Kremnizer, Kobi Ssevviiri, David |
| contents | Grothendieck constructed a Cousin complex for abelian sheaves on an arbitrary topological space. In a special setting, its dual called the BGG resolution is applicable in representation theory. Arkhipov proposed a complex whose dual is only suitable for representation theory of quantum groups at roots of unity of prime order. It is desirable to get one which works for quantum groups at all roots of unity. For a quantum projective space, we provide such a complex. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15872 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Cousin Complex for the Quantum Projective Space Kremnizer, Kobi Ssevviiri, David Quantum Algebra Algebraic Geometry Representation Theory 20G42, 81R50, 16E05, 16T20, 18G10, 51E15 Grothendieck constructed a Cousin complex for abelian sheaves on an arbitrary topological space. In a special setting, its dual called the BGG resolution is applicable in representation theory. Arkhipov proposed a complex whose dual is only suitable for representation theory of quantum groups at roots of unity of prime order. It is desirable to get one which works for quantum groups at all roots of unity. For a quantum projective space, we provide such a complex. |
| title | A Cousin Complex for the Quantum Projective Space |
| topic | Quantum Algebra Algebraic Geometry Representation Theory 20G42, 81R50, 16E05, 16T20, 18G10, 51E15 |
| url | https://arxiv.org/abs/2503.15872 |