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# Discontinuous Groups for Non-Riemannian Homogeneous Spaces

@inproceedings{Kobayashi2001DiscontinuousGF, title={Discontinuous Groups for Non-Riemannian Homogeneous Spaces}, author={Toshiyuki Kobayashi}, year={2001} }

- Published 2001
DOI:10.1007/978-3-642-56478-9_37

G × G → G, (x, y) → xy−1 is a C∞ map. In the definition, C∞ can be replaced by any of C0, C1, . . . , C (real analytic), by an affirmative answer of Hilbert’s fifth problem in 1900 (and von Neumann’s formulation in 1933 [48]) due to Gleason, Montgomery and Zippin in 1952. The abelian group Rn , the circle S1 := {z ∈ C : |z| = 1}, and the general linear group GL(n,R) are examples of Lie groups. Lie theory together with its representation theory has developed largely in various interactions with… CONTINUE READING