Restricting Representations of Completely Solvable Lie Groups

DOI10.4153/CJM-1990-042-9zbMath0724.22007OpenAlexW2312267175WikidataQ115215176 ScholiaQ115215176MaRDI QIDQ5758389

Ronald L. Lipsman

Publication date: 1990

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1990-042-9

zbMATH Keywords

Lie algebraorbit spaceorbit methodunitary dualirreducible unitary representationcoadjoint actioncompletely solvable Lie groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Nilpotent and solvable Lie groups (22E25)

Related Items (10)

The Fourier-Weyl algebra ⋮ Sur les restrictions des représentations unitaires des groupes de Lie résolubles exponentiels. (On the restrictions of unitary representations of exponential solvable Lie groups) ⋮ Filter products of \(C_{0}\)-semigroups and ultraproduct representations for Lie groups. ⋮ Commutativity of differential operators on the space of restricted representations of a nilpotent Lie group ⋮ The multiplicity function of mixed representations on completely solvable Lie groups ⋮ Entrelacement des restrictions des représentations unitaires des groupes de Lie nilpotents. (Intertwining of restriction of unitary representations of nilpotent Lie groups) ⋮ The Structure of the Space of Coadjoint Orbits of an Exponential Solvable Lie Group ⋮ Up-down representations and ergodic theory in nilpotent Lie groups ⋮ The orbit method and Gelfand pairs, associated with nilpotent Lie groups ⋮ The Dirac operator and the principal series for complex semisimple Lie groups

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