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Two-Step Nilpotent Lie Groups and Homogeneous Fiber Bundles

โœ Scribed by Hiroshi Tamaru

Book ID
111540277
Publisher
Springer
Year
2003
Tongue
English
Weight
119 KB
Volume
24
Category
Article
ISSN
0232-704X

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We characterize all pairs of cocompact, discrete subgroups \(\Gamma_{1}\) and \(\Gamma_{2}\) of a twostep nilpotent Lie group \(M\) such that the quasi-regular representations of \(M\) on \(L^{2}\left(\Gamma_{1} \backslash M\right)\) and \(L^{2}\left(\Gamma_{2} \backslash M\right)\) are unitarily eq