English

An embedding of spherical quandles into Lie groups

Geometric Topology 2026-04-01 v1

Abstract

We construct smooth embeddings of spherical quandles into conjugation quandles of Lie groups, where the ambient Lie groups can be taken to be orthogonal, Spin, or Pin groups. Moreover, in dimensions 11 and 33, we compare our embeddings with those due to Bergman and Akita.

Keywords

Cite

@article{arxiv.2603.29479,
  title  = {An embedding of spherical quandles into Lie groups},
  author = {Ayu Suzuki and Kentaro Yonemura},
  journal= {arXiv preprint arXiv:2603.29479},
  year   = {2026}
}