3 papers
math.AT2026
Classification of Finite Subquandles in Spherical Quandles
Kentaro Yonemura, Naoki Nakamura
Every finite subquandle of a spherical quandle is accounted for by dihedral quandles and by quandles defined on root systems.
math.GT2026
An embedding of spherical quandles into Lie groups
Ayu Suzuki, Kentaro Yonemura
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. Moreo…
math.GT2022
Quandles over a hyperboloid of one sheet and the longitudinal mapping knot invariant for
Kentaro Yonemura
This paper aims to consider algebraic structures of quandles defined over a hyperboloid of one sheet and compute the related longitudinal mapping for .