On the uniqueness of stratifications of derived module categories

Details On the uniqueness of stratifications of derived module categories On the uniqueness of stratifications of derived module categories

2010-06-28

arxiv.org/abs/1006.5301v4

Mathematics

Representation Theory

Scientific paper

Recollements of triangulated categories may be seen as exact sequences of such categories. Iterated recollements of triangulated categories are analogues of geometric or topological stratifications and of composition series of algebraic objects. We discuss the question of uniqueness of such a stratification, up to ordering and derived equivalence, for derived module categories. The main result is a positive answer in the form of a Jordan H\"older theorem for derived module categories of hereditary artin algebras. We also provide examples of derived simple rings.

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