English

Modules over quandle spaces and representations of Lie-Yamaguti algebras

Representation Theory 2020-10-13 v1 Algebraic Geometry Differential Geometry Geometric Topology

Abstract

We study quandle modules over quandle spaces QQ, i.e. quandles endowed with geometric structures. In the case QQ is a regular ss-manifold, we exhibit how modules over QQ are related with representations of Lie-Yamaguti algebras.

Keywords

Cite

@article{arxiv.2010.05564,
  title  = {Modules over quandle spaces and representations of Lie-Yamaguti algebras},
  author = {Nobuyoshi Takahashi},
  journal= {arXiv preprint arXiv:2010.05564},
  year   = {2020}
}