2 papers
math.AT2024
Topological components of spaces of commuting elements in connected nilpotent Lie groups
Omar Antolín-Camarena, Bernardo Villarreal
We study the homotopy type of spaces of commuting elements in connected nilpotent Lie groups, via almost commuting elements in their Lie algebras. We give a necessary and sufficien…
math.GR2023
On the commutator length of compact Lie groups
Juan Omar Gómez, Victor Torres-Castillo, Bernardo Villarreal
In this short note we show that the path-connected component of the identity of the derived subgroup of a compact Lie group consists just of commutators. We also discuss an applica…