Steffen K\"onig and Alexander Zimmermann 

Tilting hereditary orders 
Communications in Algebra 24 (6) (1996) 1897--1913

We give a combinatorial description of the class of tilting complexes over
a hereditary order. Moreover, we determine from the combinatorial data the
endomorphism rings of these tilting complexes, that is all the rings which
are derived equivalent to a hereditary order.