Relative cellular algebras
Representation Theory
2023-09-20 v4 Geometric Topology
Abstract
In this paper we generalize cellular algebras by allowing different partial orderings relative to fixed idempotents. For these relative cellular algebras we classify and construct simple modules, and we obtain other characterizations in analogy to cellular algebras. We also give several examples of algebras that are relative cellular, but not cellular. Most prominently, the restricted enveloping algebra and the small quantum group for , and an annular version of arc algebras.
Cite
@article{arxiv.1710.02851,
title = {Relative cellular algebras},
author = {Michael Ehrig and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:1710.02851},
year = {2023}
}
Comments
39 pages, many figures, revised version, to appear in Transform. Groups, comments welcome