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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.GT2026
On embeddings of homogeneous quandles
Ayu Suzuki
In this paper, we study the embedding problem of homogeneous quandles. We give a necessary and sufficient condition under which a quandle homomorphism from the homogeneous quandle…