A Derived Equivalence for some Twisted Projective Homogeneous Varieties
  In this paper we construct a tilting sheaf for Severi-Brauer Varieties and Involution Varieties. This sheaf relates the derived category of each variety to the derived category of modules over a ring whose semisimple component consists of the Tits algebras of the corresponding linear algebraic group. 
Mark Blunk
math.AG