Essential orders on stratified algebras with duality and $\mathcal{S}$-subcategories in $\mathcal{O}$
Representation Theory
2022-03-15 v2
Abstract
We prove uniqueness of the essential order for stratified algebras having simple preserving duality, generalizing a recent result of Coulembier for quasi-hereditary algebras. We apply this to classify, up to equivalence, regular integral blocks of -subcategories in the BGG category . We also describe various homological invariants of these blocks.
Keywords
Cite
@article{arxiv.2011.11492,
title = {Essential orders on stratified algebras with duality and $\mathcal{S}$-subcategories in $\mathcal{O}$},
author = {Volodymyr Mazorchuk and Elin Persson Westin},
journal= {arXiv preprint arXiv:2011.11492},
year = {2022}
}
Comments
Some corrections following the referee report