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Absolutely indecomposable quasi-parabolic G-bundles and the multiplicity of irreducible characters

  • GyeongHyeon Nam
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Abstract

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 ℙ1 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.

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Cite

BibTeXRIS
BibTeX
@misc{nam2026absolutely,
  title = {{Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters}},
  author = {GyeongHyeon Nam},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.26963},
  eprint = {2605.26963},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.26963},
}
RIS
TY  - UNPB
TI  - Absolutely indecomposable quasi-parabolic G-bundles and the multiplicity of irreducible characters
AU  - GyeongHyeon Nam
PY  - 2026
DA  - 2026/09/21
PB  - arXiv
DO  - 10.48550/arxiv.2605.26963
UR  - https://arxiv.org/abs/2605.26963
AB  - 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 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.
ER  -