Contraction of an adapted functional calculus.

Cotton, P.; Dooley, A.H.

Displaying similar documents to “Contraction of an adapted functional calculus.”

On the contraction of the discrete series of $S U (1, 1)$

C. Cishahayo, S. De Bièvre (1993)

Annales de l'institut Fourier

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It is shown, using techniques inspired by the method of orbits, that each non-zero mass, positive energy representation of the Poincaré group $𝒫^{1, 1} = S O (1, 1) \otimes_{s} ℝ^{2}$ can be obtained via contraction from the discrete series of representations of $S U (1, 1)$ .

Quantification of coadjoint orbits and the theory of contractions. (Quantification d'orbites coadjointes et théorie des contractions.)

Cahen, Benjamin (2001)

Journal of Lie Theory

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The cosine functional equation for groups

R. Dacić (1969)

Matematički Vesnik

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Enumerating large orbits and direct condensation.

Lübeck, Frank, Neunhöffer, Max (2001)

Experimental Mathematics

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The sine functional equation for groups

R. Dacić (1970)

Matematički Vesnik

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On the orbits of hat-functions

Marek C. Zdun (1976)

Colloquium Mathematicae

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On the differentiability of solutions of a functional equation with respect to a parameter

S. Czerwik (1971)

Annales Polonici Mathematici

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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.