@article{Kübel_2012, title={From Jantzen to Andersen filtration via tilting equivalence}, volume={110}, url={https://www.mscand.dk/article/view/15202}, DOI={10.7146/math.scand.a-15202}, abstractNote={The space of homomorphisms between a projective object and a Verma module in category $\mathcal O$ inherits an induced filtration from the Jantzen filtration on the Verma module. On the other hand there is the Andersen filtration on the space of homomorphisms between a Verma module and a tilting module. Arkhipov’s tilting functor, a contravariant self-equivalence of a certain subcategory of $\mathcal O$, which maps projective to tilting modules induces an isomorphism of these kinds of Hom-spaces. We show that this equivalence identifies both filtrations.}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Kübel, Johannes}, year={2012}, month={Jun.}, pages={161–180} }