Uniform Steiner bundles on $\mathbb{P}^n$ and reflection functors

Abstract

Let $n \in \mathbb{N}_{\geq 2}$. We prove that for every $k \geq 4$ there exist uniform but non-homogeneous Steiner bundles on $\mathbb{P}^n$ of $k$-type with disconnected splitting type, and we further investigate almost-uniform Steiner bundles. Our approach relies on interpreting Steiner bundles as relative projective Kronecker representations and applying adjoint pairs arising from restriction, inflation, and reflection functors.