The Moment Map of a Lie Group Representation

DOI10.2307/2154163zbMath0762.22012OpenAlexW4238288066MaRDI QIDQ4000832

Norman J. Wildberger

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2154163

zbMATH Keywords

unitary representationcoadjoint orbitconvex hullsemisimple Lie groupmoment mapmoment setextremal setthree-dimensional Heisenberg group\(SU(2)\)

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Other complex differential geometry (53C56) Geometric quantization (53D50)

Related Items

Weak quadratic overgroups for type I solvable Lie groups of the form \(\mathbb{R}\ltimes\mathbb{R}^n\), Schur-Weyl Theory for C *-algebras, Separation of coadjoint orbits of generalized diamond Lie groups, Gauss maps and plethysm, A spectral theoretic approach to the Kirillov-Duflo correspondence, Geometric models for the spectra of certain Gelfand pairs associated with Heisenberg groups, Quantum marginals from pure doubly excited states, Moment sets and unitary dual for the diamond group, Quadratic overgroups for diamond Lie groups, The Penney-Fujiwara Plancherel formula for Gelfand pairs, Convexity properties of the moment mapping re-examined, Coadjoint Orbits of Certain Motion Groups and Their Coherent States, Convexity and unitary representations of nilpotent Lie groups, Spaces of bounded spherical functions on Heisenberg groups. I, Matrix coefficients and coadjoint orbits of compact Lie groups

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