Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866916070367952896 |
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| author | Nam, GyeongHyeon |
| author_facet | Nam, GyeongHyeon |
| contents | Absolutely indecomposable vector bundle and parabolic vector bundles are well-studied via quiver representations. In this paper, we study absolutely indecomposable quasi-parabolic $G$-bundles over $\mathbb{P}^1$ with generic additive character varieties. Furthermore, we give a geometric interpretation of the multiplicity of the tensor product of irreducible characters of finite reductive groups using generic additive character varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_26963 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters Nam, GyeongHyeon Algebraic Geometry Representation Theory 14H60, 20C33, 17B10 Absolutely indecomposable vector bundle and parabolic vector bundles are well-studied via quiver representations. In this paper, we study absolutely indecomposable quasi-parabolic $G$-bundles over $\mathbb{P}^1$ with generic additive character varieties. Furthermore, we give a geometric interpretation of the multiplicity of the tensor product of irreducible characters of finite reductive groups using generic additive character varieties. |
| title | Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters |
| topic | Algebraic Geometry Representation Theory 14H60, 20C33, 17B10 |
| url | https://arxiv.org/abs/2605.26963 |