English

Lie automorphisms of incidence algebras

Rings and Algebras 2021-08-10 v3

Abstract

Let XX be a finite connected poset and KK a field. We give a full description of the Lie automorphisms of the incidence algebra I(X,K)I(X,K). In particular, we show that they are in general not proper.

Keywords

Cite

@article{arxiv.2012.06661,
  title  = {Lie automorphisms of incidence algebras},
  author = {Érica Z. Fornaroli and Mykola Khrypchenko and Ednei A. Santulo},
  journal= {arXiv preprint arXiv:2012.06661},
  year   = {2021}
}

Comments

Minor changes. Accepted for publication in Proceedings of the AMS