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Cut and conjugate loci in two-step nilpotent Lie groups

✍ Scribed by Gerard Walschap

Publisher
Springer-Verlag
Year
1997
Tongue
English
Weight
637 KB
Volume
7
Category
Article
ISSN
1050-6926

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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