From Jantzen to Andersen Filtration via Tilting Equivalence
Representation Theory
2013-05-22 v3
Abstract
The space of homomorphisms from a projective object to a Verma module in category 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 from a Verma module to a tilting module as described in [Soe07]. The tilting equivalence from [Soe98] induces an isomorphism of these kinds of Hom-spaces. We will show that this equivalence even identifies both filtrations.
Keywords
Cite
@article{arxiv.1011.1794,
title = {From Jantzen to Andersen Filtration via Tilting Equivalence},
author = {Johannes Kübel},
journal= {arXiv preprint arXiv:1011.1794},
year = {2013}
}
Comments
15 pages, minor typos corrected