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3 votes

Decomposing an arbitrary unitary representation of a connected nilpotent Lie group in terms ...

Brad Currey has actually obtained a pretty explicit description of the Plancherel measure for general exponential solvable Lie groups which is used to decompose the representation into direct integral …
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2 votes

Structure of the unitary representation $L^2(N/M)$ when $N$ is a nilpotent Lie group

Is $N$ or $M$ connected? simply connected? Is $N$ commutative? Ronald Lipsman has settled the decomposition of quasiregular representations of Lie groups in many settings. You will find his papers ver …
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