Higher generation by abelian subgroups in Lie groups

Omar Antolín-Camarena, Simon Gritschacher, Bernardo Villarreal

To a compact Lie group $G$ one can associate a space $E(2,G)$ akin to the poset of cosets of abelian subgroups of a discrete group. The space $E(2,G)$ was introduced by Adem, F. Co…