We show that every stable holomorphic bundle on the Hopf manifold M=(C-n0)/< A > with dim M >= 3, where A is an element of GL(n,C) is a diagonal linear operator with all eigenvalues satisfying vertical bar alpha(i)vertical bar<1, can be lifted to a <(G)over bar>(F)-equivariant coherent sheaf on C-n, where (G) over bar (F) congruent to(C*)(l) is a commutative Lie group acting on C-n and containing A. This is used to show that all bundles on M are filtrable, that is, admit a filtration by a sequence F-i of coherent sheaves with all subquotients F-i/Fi-1 of rank 1.
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