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

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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