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- W36339901 abstract "Let G be a Lie group acting on a manifold X and preserving a G-invariant measure. Abstract harmonic analysis seeks to understand the action of G on X by understanding the unitary representation of G on L 2 (X). This may be done by “decomposing” L2 (X) (in an appropriate sense) into irreducible unitary representations. In order to do this, it is useful to have in hand a family of irreducible unitary representations; not necessarily exhaustive, but large enough to solve a range of interesting harmonic analysis problems. The Kirillov-Kostant philosophy of coadjoint orbits seeks to provide such a family. The purpose of these notes is to describe what is known about implementing that philosophy, particularly for reductive groups." @default.
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- W36339901 date "1992-01-01" @default.
- W36339901 modified "2023-10-17" @default.
- W36339901 title "Unitary Representations of Reductive Lie Groups and the Orbit Method" @default.
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- W36339901 doi "https://doi.org/10.1007/978-1-4612-2978-0_5" @default.
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