English

Pseudo-Riemannian metrics on bicovariant bimodules

Quantum Algebra 2020-07-28 v2 Mathematical Physics math.MP

Abstract

We study pseudo-Riemannian invariant metrics on bicovariant bimodules over Hopf algebras. We clarify some properties of such metrics and prove that pseudo-Riemannian invariant metrics on a bicovariant bimodule and its cocycle deformations are in one to one correspondence.

Keywords

Cite

@article{arxiv.1911.06036,
  title  = {Pseudo-Riemannian metrics on bicovariant bimodules},
  author = {Jyotishman Bhowmick and Sugato Mukhopadhyay},
  journal= {arXiv preprint arXiv:1911.06036},
  year   = {2020}
}

Comments

Accepted for publication in Annales Math\'ematiques Blaise Pascal