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Publication:3973970
zbMath0744.22010MaRDI QIDQ3973970
Publication date: 26 June 1992
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solvable Lie algebrasPlancherel formulaLie algebrairreducible representationsmultiplicitiesdirect integral decompositionFrobenius reciprocityunitary charactersolvable, exponential Lie group
Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Lie algebras of Lie groups (22E60) Nilpotent and solvable Lie groups (22E25) Induced representations for locally compact groups (22D30)
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Corwin-Greenleaf multiplicity functions for Hermitian symmetric spaces ⋮ Analysis of restrictions of unitary representations of a nilpotent Lie group ⋮ Unnamed Item ⋮ Analysis of some monomial representations of exponential solvable Lie groups ⋮ A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations ⋮ A unified approach to concrete Plancherel theory of homogeneous spaces ⋮ Unnamed Item ⋮ Classical limit of the tensor product of holomorphic discrete series representations ⋮ The multiplicity function of mixed representations on completely solvable Lie groups ⋮ The Structure of the Space of Coadjoint Orbits of an Exponential Solvable Lie Group ⋮ Holomorphically induced representations of some solvable Lie groups ⋮ Geometry of coadjoint orbits and multiplicity-one branching laws for symmetric pairs ⋮ Semi-invariant vectors associated with holomorphically induced representations of exponential Lie groups
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