Absolutely indecomposable quasi-parabolic $G$-bundles and the multiplicity of irreducible characters
Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Nam, GyeongHyeon
Institution: Aalto University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2860470529, G4362420071, G5727368902
OpenAlex ID: W7162491187