English

Signature maps from positive cones on algebras with involution

Rings and Algebras 2025-05-29 v1

Abstract

We introduced positive cones in an earlier paper as a notion of ordering on central simple algebras with involution that corresponds to signatures of hermitian forms. In the current paper we describe signatures of hermitian forms directly out of positive cones, and also use this approach to rectify a problem that affected some results in the previously mentioned paper.

Keywords

Cite

@article{arxiv.2505.22178,
  title  = {Signature maps from positive cones on algebras with involution},
  author = {Vincent Astier and Thomas Unger},
  journal= {arXiv preprint arXiv:2505.22178},
  year   = {2025}
}
R2 v1 2026-07-01T02:45:53.763Z