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Unitary and non-unitary representations of the complex inhomogeneous Lorentz group. (English) Zbl 0152.23101

##### MSC:
 22E43 Structure and representation of the Lorentz group 81R05 Finite-dimensional groups and algebras motivated by physics and their representations
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##### References:
 [1] Fell, J. M. G.: Non-unitary dual spaces of groups. Acta Math.114, 267 (1965). · Zbl 0152.33204 · doi:10.1007/BF02391824 [2] Gel’fand, I. M., M. I. Graev, andN. Ya. Vilenkin: Generalized functions, Vol. V. New York: Academic Press 1966. (English Translation). [3] Joos, H.: Complex angular momentum and the representations of the Poincaré group with space-like momentum. Lectures in Theoretical Physics VII-A. Boulder: University of Colorado Press 1964. [4] Mackey, G. W.: The theory of group representations. Lecture Notes, University of Chicago (1955). [5] —- Infinite dimensional group representations. Bull. Am. Math. Soc.69, 628 (1963). · Zbl 0136.11502 · doi:10.1090/S0002-9904-1963-10973-8 [6] Mayer, M. E.: Representations of noncompact (locally compact) groups on rigged Hilbert spaces and their possible uses. Feldafing Seminar on Unified Theories of Elementary Particles, Proceedings, Max-Planck-Institut für Physik und Astrophysik, Munich (1965). [7] Moussa, P., andR. Stora: Some remarks on the product of irreducible representations of the inhomogeneous Lorentz group. Lectures in Theoretical Physics VII-A. Boulder: University of Colorado Press 1964. [8] Naimark, M. A.: Linear representations of the Lorentz group. New York: Macmillan 1964. (English Translation). · Zbl 0137.31703 [9] Roffman, E. H.: The complex inhomogeneous Lorentz group and complex angular momentum. Thesis submitted in Partial Fulfillment of the Degree Doctor of Philosophy, Brandeis University (1965). [10] —- The complex inhomogeneous Lorentz group and complex angular momentum. Phys. Rev. Letters16, 210 (1966). · doi:10.1103/PhysRevLett.16.210 [11] Sertorio, L., andM. Toller: Complex angular momentum and the three dimensional Lorentz group. Nuovo Cimento37, 631 (1965). · doi:10.1007/BF02749860 [12] Ström, S.: On the matrix elements of a unitary representation of the homogeneous Lorentz group. Arkiv Fysik29, 467 (1965). · Zbl 0138.38401 [13] –Ström, S. A note on the matrix elements of a unitary representation of the homogeneous Lorentz group. Preprint, Chalmers University of Technology, Göteborg, Sweden. [14] Toller, M.: Three dimensional Lorentz group and harmonic analysis of the scattering amplitude. Nuovo Cimento37, 631 (1965). · doi:10.1007/BF02749860 [15] – Some consequences of a generalization of the Regge pole hypothesis. Preprint, Istituto di Fisica ”G. Marconi”, Universita di Roma. [16] Wigner, E. P.: On unitary representations of the inhomogeneous Lorentz group. Ann. Math.40, 149 (1939). · JFM 65.1129.01 · doi:10.2307/1968551
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