Koszul duality for extension algebras of standard modules

Details Koszul duality for extension algebras of standard modules Koszul duality for extension algebras of standard modules

2004-11-24

arxiv.org/abs/math/0411528v3

J. Pure Appl. Algebra 211 (2007), no. 2, 484-496

Mathematics

Representation Theory

21 page, revised version

Scientific paper

We define and investigate a class of Koszul quasi-hereditary algebras for which there is a natural equivalence between the bounded derived category of graded modules and the bounded derived category of graded modules over (a proper version of) the extension algebra of standard modules. Examples of such algebras include, in particular, the multiplicity free blocks of the BGG category $\mathcal{O}$, and some quasi-hereditary algebras with Cartan decomposition in the sense of K{\"o}nig.

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