Literatur
Boidol, J., Leptin, H., Schürmann, J., Vahle, D.: Räume primitiver Ideale von Gruppenalgebren. Math. Ann.236, 1–13 (1978)
Borel, A.: Linear algebraic groups. Amsterdam, New York: Benjamin 1969
Borho, W., Gabriel, P., Rentschler, R.: Primideale in Einhüllenden auflösbarer Lie-Algebren. Lecture Notes in Mathematics, Vol. 357. Berlin, Heidelberg, New York: Springer 1973
Brown, I.D.: Dual topology of a nilpotent Lie group. Ann. Sci. École. Norm. Sup.6, 407–411 (1973)
Chevalley, C.: A new kind of relationship between matrices. Am. J. Math.65, 521–531 (1943)
Chevalley, C., Tuan, H.F.: On algebraic Lie algebras. Proc. Nat. Acad. Sci.31, 195–196 (1945)
Conze-Berline, N.: Espace des idéaux primitifs de l'algèbre enveloppante d'une algèbre de Lic nilpotente, J. Algebra34, 444–450 (1975)
Dixmier, J.: Opérateurs de rang fini dans les représentations unitaires. Publ. math. I. H. E. S.6, 305–317 (1960)
Dixmier, J.: Algèbres enveloppantes. Paris: Gauthier-Villiars 1974
Dixmier, J.: Idéaux, primitifs dans les algèbres enveloppantes. J. Algebra48, 96–112 (1977)
Duflo, M.: Sur les extensions des représentations irréductibles des groupes de Lie nilpotents. Ann. Sci. École Norm. Sup.5, 71–120 (1972)
Gurevich, D.J.: Counterexamples to a problem of L. Schwartz. Funct. Anal. Appl.9, 116–120 (1975)
Howe, R.E.: On the character of Weil's representation. Trans. Am. Math. Soc.177, 287–298 (1973)
Howe, R.E.: On a connection between nilpotent groups and oscillatory integrals associated to singularities. Pac. J. Math.73, 329–363 (1977)
Humphreys, J.E.: Linear algebraic groups. Berlin, Heidelberg, New York: Springer 1975
Jacobson, N.: Structure of rings, third edition. Am. Math. Soc. Coll. Publ.37 (1968)
Kirillov, A.A.: Unitary representations of nilpotent Lie groups. Usp. Mat. Nauk17, 57–110 (1962)
Krisch, W., Müller, D.: On the synthesis problem for orbits of Lie groups in ℙn. Ark. Mat.18, 145–155 (1980)
Leptin, H.: Ideal theory in group algebras of locally compact groups. Invent. math.31, 259–278 (1976)
Ludwig, J.: Polynomial growth and ideals in group algebras. Manuscripta Math.30, 215–221 (1980)
Ludwig, J.: On the spectral synthesis problem for points in the dual of a nilpotent Lie group. Ark. Mat.21, 127–144 (1983)
Ludwig, J.: On primary ideals in the group algebra of a nilpotent Lie group. Math. Ann.262, 287–304 (1983)
Malgrange, B.: Existence et approximation de solutions des équations aux dérivées partielles et équations de convolutions. Ann. Inst. Fourier6, 271–355 (1956)
Matsushima, Y.: On algebraic Lie groups and algebras. J. Math. Soc. Japan1, 46–57 (1948)
Müller, D.: On the spectral synthesis problem for hypersurfaces of ℙn. J. Funct. Anal.47, 247–280 (1982)
Poguntke, D.: Nilpotente Liesche Gruppen haben symmetrische Gruppenalgebren. Math. Ann.227, 51–59 (1977)
Poguntke, D.: Algebraically irreducible representations of exponential Lie groups. Duke Math. J.50, 1077–1106 (1983)
Pukanszky, L.: Leçons sur les représentations des groupes Paris: Dunod 1967
Schwartz, L.: Théorie générale des fonctions moyenne-périodiques. Ann. Math.48, 857–929 (1947)
Schwartz, L.: Analyse et synthése harmonique dans les espaces de distributions. Canad. J. Math.3, 503–512 (1951)
Schwartz, L.: Théorie des distributions. 3èmeédit. Paris: Hermann 1973
Warner, G.: Harmonic analysis on semi-simple Lie groups, Vol. I. Berlin, Heidelberg, New York: Springer 1972
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Poguntke, D. Über das Synthese-Problem für nilpotente Liesche Gruppen. Math. Ann. 269, 431–467 (1984). https://doi.org/10.1007/BF01450760
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01450760