English

Projective cell modules of Frobenius cellular algebras

Representation Theory 2013-04-16 v1

Abstract

For a finite dimensional Frobenius cellular algebra, a sufficient and necessary condition for a simple cell module to be projective is given. A special case that dual bases of the cellular basis satisfying a certain condition is also considered. The result is similar to that in symmetric case.

Keywords

Cite

@article{arxiv.1304.3966,
  title  = {Projective cell modules of Frobenius cellular algebras},
  author = {Yanbo Li and Deke Zhao},
  journal= {arXiv preprint arXiv:1304.3966},
  year   = {2013}
}

Comments

10 pages