English

Semisimplicity of cellular algebras over positive characteristic fields

Combinatorics 2008-03-04 v1

Abstract

In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that the Frame number of cellular algebras characterizes semisimplicity of it. In a sense, this is a generalization of Maschke's theorem.

Keywords

Cite

@article{arxiv.0803.0133,
  title  = {Semisimplicity of cellular algebras over positive characteristic fields},
  author = {Reza Sharafdini},
  journal= {arXiv preprint arXiv:0803.0133},
  year   = {2008}
}
R2 v1 2026-06-21T10:17:34.696Z