A Survey on Spaces of Homomorphisms to Lie Groups

  title={A Survey on Spaces of Homomorphisms to Lie Groups},
  author={Frederick R. Cohen and Mentor Stafa},
  journal={arXiv: Algebraic Topology},
The purpose of this article is to give an exposition of topological properties of spaces of homomorphisms from certain finitely generated discrete groups to Lie groups G, and to describe their connections to classical representation theory, as well as other structures. Various properties are given when G is replaced by a small category, or the discrete group is given by a right-angled Artin group. 
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On spaces of commuting elements in Lie groups†
  • F. Cohen, Mentor Stafa
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 2016
Abstract The main purpose of this paper is to introduce a method to “stabilise” certain spaces of homomorphisms from finitely generated free abelian groups to a Lie group G, namely Hom(ℤ n , G). We