Little group method for smooth representations of finite length
Charles H. Conley
Source: Duke Math. J. Volume 79, Number 3
(1995), 619-666.
First Page:
Show
Hide
Primary Subjects:
22E45
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077285352
Mathematical Reviews number (MathSciNet): MR1355179
Zentralblatt MATH identifier: 0862.22012
Digital Object Identifier: doi:10.1215/S0012-7094-95-07916-2
References
[1] G. Cassinelli, G. Olivieri, P. Truini, and V. S. Varadarajan, On some nonunitary representations of the Poincaré group and their use for the construction of free quantum fields, J. Math. Phys. 30 (1989), no. 11, 2692–2707.
Mathematical Reviews (MathSciNet): MR91d:22009
Zentralblatt MATH: 0704.22016
Digital Object Identifier: doi:10.1063/1.528502
[2] G. Cassinelli, P. Truini, and V. S. Varadarajan, Hilbert space representations of the Poincaré group for the Landau gauge, J. Math. Phys. 32 (1991), no. 4, 1076–1090.
Mathematical Reviews (MathSciNet): MR92e:81128
Zentralblatt MATH: 0747.46051
Digital Object Identifier: doi:10.1063/1.529333
[3] J. Chislenko and C. K. Fan, On representations of graphs of type $A$, Proc. Roy. Soc. London Ser. A 439 (1992), no. 1907, 687–690.
Mathematical Reviews (MathSciNet): MR93k:16022
Zentralblatt MATH: 0766.05090
Digital Object Identifier: doi:10.1098/rspa.1992.0178
JSTOR: links.jstor.org
[4] C. Conley, Representations of finite length of semidirect product Lie groups, J. Funct. Anal. 114 (1993), no. 2, 421–457.
Mathematical Reviews (MathSciNet): MR94e:22024
Zentralblatt MATH: 0793.22006
Digital Object Identifier: doi:10.1006/jfan.1993.1073
[5] C. Conley, Extensions of the mass 0 helicity 0 representation of the Poincaré group, contributed to NATO workshop in noncompact Lie groups and some of their applications (San Antonio, TX, January, 1993), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 429, Kluwer Acad. Publ., Dordrecht, San Antonio, Texas, 1994, January, pp. 315–324.
Mathematical Reviews (MathSciNet): MR96e:22028
Zentralblatt MATH: 0829.22035
[6] F. du Cloux, Extensions entre représentations unitaires irreductibles des groupes de Lie nilpotents, Astérisque 124-125 (1985), 129–211.
Zentralblatt MATH: 0567.22006
[7] P. Delorme, Self-extensions de modules de Harish-Chandra irréductibles et une question de I. M. Gel'fand, Astérisque 124-125 (1985), 31–48.
Zentralblatt MATH: 0559.17007
[8] I. M. Gel'fand, M. Graev, and V. Ponomarev, The classification of the linear representations of the group $SL(2,C)$, Dokl. Acad. Nauk. 194 (1969), 81–82.
Zentralblatt MATH: 0204.45301
[9] I. M. Gel'fand and V. Ponomarev, Indecomposable representations of the Lorentz group, Uspehi Mat. Nauk 23 (1968), no. 2 (140), 3–60.
Mathematical Reviews (MathSciNet): MR37:5325
Zentralblatt MATH: 0236.22012
[10] I. M. Gel'fand and V. Ponomarev, Remarks on the classification of a pair of commuting linear transformations in a finite-dimensional space, Funkcional. Anal. i Priložen. 3 (1969), no. 4, 81–82.
Mathematical Reviews (MathSciNet): MR40:7279
Zentralblatt MATH: 0204.45301
[11] J. Glimm, Locally compact transformation groups, Trans. Amer. Math. Soc. 101 (1961), 124–138.
Mathematical Reviews (MathSciNet): MR25:146
Zentralblatt MATH: 0119.10802
Digital Object Identifier: doi:10.2307/1993415
JSTOR: links.jstor.org
[12] A. Guichardet, Extensions des représentations induites des produits semi-directs, J. Reine Angew. Math. 310 (1979), 7–32.
Mathematical Reviews (MathSciNet): MR80i:22017
Zentralblatt MATH: 0415.22013
Digital Object Identifier: doi:10.1515/crll.1979.310.7
[13] A. Guichardet, Représentations de longeur finie des groupes de Lie inhomogènes, Astérisque 124-125 (1985), 212–252.
Zentralblatt MATH: 0574.22010
[14] A. Guichardet, Extensions and deformations of representations, Symposia Mathematica, Vol. XXXI (Rome, 1988), Sympos. Math., vol. 31, Academic Press, London, 1990, pp. 31–44.
Mathematical Reviews (MathSciNet): MR92e:22022
Zentralblatt MATH: 0725.22004
[15] L. Hörmander, The Analysis of Linear Partial Differential Operators, vol 1, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 256, Springer-Verlag, Berlin, 1983.
Mathematical Reviews (MathSciNet): MR85g:35002a
Zentralblatt MATH: 0521.35001
[16] G. Rideau, Noncompletely reducible representations of the Poincaré group associated with the generalized Lorentz gauge, J. Math. Phys. 19 (1978), no. 7, 1627–1634.
Mathematical Reviews (MathSciNet): MR58:11252
Zentralblatt MATH: 0427.22020
Digital Object Identifier: doi:10.1063/1.523866
[17] G. Rideau, On the extensions of mass-zero representations of the Poincaré group, Rep. Math. Phys. 16 (1979), no. 2, 251–263.
Mathematical Reviews (MathSciNet): MR81k:81049
Zentralblatt MATH: 0427.22007
Digital Object Identifier: doi:10.1016/0034-4877(79)90061-2
[18] G. Rideau, Cohomology of extension for the Poincaré group representations: Application to quantum mechanics with indefinite metric and to nonlinear representation theory, Symposia Mathematica, Vol. XXXI (Rome, 1988), Sympos. Math., vol. 31, Academic Press, London, 1990, pp. 95–108.
Mathematical Reviews (MathSciNet): MR91e:22029
Zentralblatt MATH: 0706.22020
[19] L. Schwartz, Théorie des distributions, Publications de l'Institut de Mathématique de l'Université de Strasbourg, No. IX-X. Nouvelle édition, entiérement corrigée, refondue et augmentée, Hermann, Paris, 1966.
Mathematical Reviews (MathSciNet): MR35:730
Zentralblatt MATH: 0149.09501
[20] V. S. Varadarajan, Geometry of Quantum Theory, 2nd ed., Springer-Verlag, New York, 1985.
Mathematical Reviews (MathSciNet): MR87a:81009
Zentralblatt MATH: 0581.46061
[21] N. Wallach, Harmonic Analysis on Homogeneous Spaces, Marcel Dekker, New York, 1973.
Mathematical Reviews (MathSciNet): MR58:16978
Zentralblatt MATH: 0265.22022
Duke Mathematical Journal