On $(p,r)$-Filtrations and Tilting Modules
Group Theory
2016-10-31 v1
Abstract
We study the relationship between Donkin's Tilting Module Conjecture and Donkin's Good -Filtration Conjecture. Our main result was motivated by a result of Kildetoft and Nakano showing that the Tilting Module Conjecture implies one direction of the Good -Filtration Conjecture. We observe that the converse nearly holds; in particular a weaker version of the Good -Filtration Conjecture implies the Tilting Module Conjecture.
Keywords
Cite
@article{arxiv.1610.09323,
title = {On $(p,r)$-Filtrations and Tilting Modules},
author = {Paul Sobaje},
journal= {arXiv preprint arXiv:1610.09323},
year = {2016}
}
Comments
11 pages, comments welcome