Semi-invariant vectors associated with holomorphically induced representations of exponential Lie groups

DOI10.1007/978-3-030-78346-4_6zbMath1506.22010OpenAlexW3210223709MaRDI QIDQ2072611

Junko Inoue

Publication date: 26 January 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-78346-4_6

zbMATH Keywords

Plancherel formulasolvable Lie groupholomorphically induced representation

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Cites Work

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• Holomorphically induced representations of exponential Lie groups
• Semiinvariant vectors associated to decompositions of monomial representations of exponential Lie groups
• Abstract Plancherel theorems and a Frobenius reciprocity theorem
• An example of holomorphically induced representations of exponential solvable Lie groups
• Holomorphically induced representations of exponential solvable semi-direct product groups \(\mathbb{R} \ltimes \mathbb{R}^{n}\)
• Harmonic Analysis on Exponential Solvable Lie Groups
• Multiplicité un pour les espaces symétriques exponentiels
• Holomorphically induced representations of some solvable Lie groups

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