§1, first page, defines the Samelson product as the topological-group commutator descended from a Cartesian product to a smash product, with commutator convention f inverse, g inverse, f, g.
Tse Leung So 2026-11-05
Tse Leung So studies homotopy-theoretic questions about Lie groups. His paper on commutator orders examines the Samelson product in low-rank groups and its odd-primary behavior.[ref]
The odd primary order of the commutator on low rank Lie groups by Tse Leung So. Original byline and introduction
The group commutator is trivial when either input is the identity. It therefore descends from a Cartesian product to a smash product, turning noncommutativity into a based topological map. Its homotopy order measures information that the ordinary multiplication table alone does not express.[ref]