Abstract
Actions of SL 2(ℝ) on the half-plane. In the theory of modular or more generally automorphic functions, one uses the group46 G = SL 2(ℝ) of matrices \(g = \left(\begin{array}{*{10}c} a & b \\ c & d \end{array}\right)\) and so \(g^{-1} = \left(\begin{array}{*{10}c} d & -b \\ -c & a \end{array}\right)\).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Godement, R. (2015). SL 2(ℝ) as a Locally Compact Group. In: Analysis IV. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-16907-1_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-16907-1_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-16906-4
Online ISBN: 978-3-319-16907-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)