English

On $H^1$ of finite dimensional algebras

Rings and Algebras 2023-10-13 v1

Abstract

We review results on the first Hochschild cohomology vector space of a finite dimensional algebra, in particular for path algebras modulo a "pre-generated" ideal. In case of a monomial algebra whose quiver has no oriented cycles, a dimension formula is provided. The general monomial case is considered in a paper with M. Saorin.

Keywords

Cite

@article{arxiv.2301.08214,
  title  = {On $H^1$ of finite dimensional algebras},
  author = {Claude Cibils},
  journal= {arXiv preprint arXiv:2301.08214},
  year   = {2023}
}

Comments

Published in 2000 and not widely available