I prove that a vector bundle on a minuscule homogeneous variety splits into a direct sum of line bundles if and only if its restriction to the union of two-dimensional Schubert subvarieties splits. A case-by-case analysis is done.
A splitting criterion for vector bundles on blowing ups of the plane
On rank 2 vector bundles on Fano manifolds
Birational classification of moduli spaces of vector bundles over $\mathbb{P}^{2}$
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