SL 2(ℝ) as a Locally Compact Group

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Analysis IV

Part of the book series: Universitext ((UTX))

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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 \(g^{-1} = \left(\begin{array}{*{10}c} d & -b \\ -c & a \end{array}\right)\).

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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

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