Abstract
The aim of this article is to survey aspects of tilting theory. In the last 25 years the idea of tilting has emerged from rather special situations in terms of reflection functors [BGP] to a thorough investigation of derived categories of abelian categories admitting a tilting complex. It is impossible to survey here a full account of these developments. For some historic remarks see [H1] or [K]. Instead we will focus after a general introduction on one particular aspect. This is the theory of quasitilted algebras or equivalently that of hereditary abelian categories with tilting object as introduced in the work with Reiten and Smalø [HRS1].
Dedicated to K. W. Roggenkamp on the occasion of his 60th birthday
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Happel, D. (2001). Derived Equivalences and Tilting Theory. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_9
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