The unitary dual of G2.
David A. Jr. Vogan (1994)
Inventiones mathematicae
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Displaying similar documents to “The unitary dual for complex classical Lie groups.”
The unitary dual of G2.
Polarization and Unitary Representations of Solvable Lie Groups.
L. Auslander (1971)
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Separation of unitary representations of exponential Lie groups.
Arnal, Didier, Baklouti, Ali, Ludwig, Jean, Selmi, Mohamed (2000)
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Unitary Representations of Reductive Lie Groups
David A.jun. Vogan (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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One of the fundamental problems of abstract harmonic analysis is the determination of the irreducible unitary representations of simple Lie groups. After recalling why this problem is of interest, we discuss the present state of knowledge about it. In the language of Kirillov and Kostant, the problem finally is to «quantize» nilpotent coadjoint orbits.
Singular unitary representations of classical groups.
Jian-Shu Li (1989)
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Unitary structure in representations of infinite-dimensional groups and a convexity theorem.
V.G. Kac, D.H. Peterson (1984)
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On the unitary dual of the classical Lie groups II. Representations of inside the dominant Weyl Chamber
Susana A. Salamanca-Riba (1993)
Compositio Mathematica
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Kirillov's Character Formula for Reductive Lie Groups.
Wulf Rossmann (1978)
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The Oscillator Character Formula, for isometry groups of splits in deep stable range.
Andrzej Daszkiewicz, Tomasz Przebinda (1996)
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On the existence of commutative Banach-Lie groups which do not admit continuous unitary representations
Wojciech Banaszczyk (1987)
Colloquium Mathematicae
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Invariant symbolic calculus for compact Lie groups
Benjamin Cahen (2019)
Archivum Mathematicum
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We study the invariant symbolic calculi associated with the unitary irreducible representations of a compact Lie group.