Abstract
In this section, we will describe the universal covering group of SL(2,ℝ) using the Maslov index. This construction is valid in the general case, and we will describe in detail the universal covering of the manifold of Lagrangian planes and the universal covering group of Sp(n,ℝ) in Appendix A.
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© 1980 Springer Science+Business Media New York
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Lion, G., Vergne, M. (1980). The universal covering group of SL(2,ℝ). In: The Weil representation, Maslov index and Theta series. Progress in Mathematics, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4684-9154-8_9
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DOI: https://doi.org/10.1007/978-1-4684-9154-8_9
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Publisher Name: Birkhäuser, Boston, MA
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Online ISBN: 978-1-4684-9154-8
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