Resumen de Commuting elements and spaces of homomorphisms
Alejandro Adem, Frederick R. Cohen
This article records basic topological, as well as homological properties of the space of homomorphisms Hom(p,G) where p is a finitely generated discrete group, and G is a Lie group, possibly non-compact. If p is a free abelian group of rank equal to n, then Hom(p, G) is the space of ordered n-tuples of commuting elements in G. If G = SU(2), a complete calculation of the cohomology of these spaces is given for n = 2, 3. An explicit stable splitting of these spaces is also obtained, as a special case of a more general splitting.
