English

Homological smoothness of Hopf-Galois extensions

K-Theory and Homology 2024-12-06 v1

Abstract

We show that if HH is a Hopf algebra with bijective antipode and BAB \subset A is a faithfully flat HH-Galois extension, then AA is homologically smooth if HH and BB are.

Keywords

Cite

@article{arxiv.2412.04365,
  title  = {Homological smoothness of Hopf-Galois extensions},
  author = {Julian Le Clainche},
  journal= {arXiv preprint arXiv:2412.04365},
  year   = {2024}
}