Let be a compact group, and let be an element whose centralizer has minimal dimension (such elements are dense in ). Let be the centralizer of . This subgroup is closed since where is the map , and abelian since it is the intersection of with the Cartan subgroup of its complexification, and hence a torus, since (and thus ) is compact. We call a maximal torus of .
|Date of creation||2013-03-22 13:23:52|
|Last modified on||2013-03-22 13:23:52|
|Last modified by||bwebste (988)|