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arXiv · 2605.26963

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 $\mathbb{P}^1$ 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.

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GyeongHyeon Nam. 2026-05-26. Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters. https://arxiv.org/abs/2605.26963

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