FUNDAMENTAL GROUPS OF SPLIT REAL KAC-MOODY GROUPS AND GENERALIZED REAL FLAG MANIFOLDS
FUNDAMENTAL GROUPS OF SPLIT REAL KAC-MOODY GROUPS AND GENERALIZED REAL FLAG MANIFOLDS
Abstract We determine the fundamental groups of symmetrizable algebraically simply connected split real Kac-Moody groups endowed with the Kac-Peterson topology. In analogy to the finite-dimensional situation, because of the Iwasawa decomposition G = KAU + , the embedding K ,↪ G is a weak homotopy equivalence, in particular π 1 …