J. Hilgert, “Applications of Lie Semigroups in Analysis,” in The Analytical and Topological Theory of Semigroups, K. H. Hofmann and et al., Eds. Berlin: De Gruyter, 1990.

J. Hilgert and K. H. Hofmann, “On the Causal Structure of Homogeneous Manifolds,” Math. Scand., vol. 67, pp. 119–144, 1990.

J. Hilgert and K. H. Hofmann, “Compactly Embedded Cartan Algebras and Invariant Cones in Lie Algebras,” Advances Math., vol. 75, pp. 168–201, 1989.

J. Hilgert, “A Note on Howe’s Oscillator Semigroup,” Ann. Inst. Fourier, vol. 39, pp. 663–688, 1989.

J. Hilgert, K. H. Hofmann, and J. D. Lawson, Eds., Lie Groups, Convex Cones, and Semigroups. Oxford: Oxford University Press, 1989.

J. Hilgert, “Spectrally Ordered Lie Algebras,” in Group Theoretical Methods in Physics, vol. 313, H. D. Doebner and et al., Eds. New York: Springer, 1988.

J. Hilgert, “Invariant Lorentzian Orders on Simply Connected Lie Groups,” Arkiv för mat., vol. 26, pp. 107–115, 1988.

J. Hilgert and K. H. Hofmann, “Classification of Invariant Cones in Real Lie Algebras,” Bull. AMS, vol. 11, pp. 441–446, 1988.

J. Hilgert and K. H. Hofmann, “Invariant Cones in Lie Algebras,” Semigroup Forum 37l. Semigroup Forum, pp. 241–252, 1988.

J. Hilgert, “Maximal Semigroups and the Support of Gauss-Semigroups,” in Probability and Baysian Statistics, R. Viertl, Ed. New York: Plenum Press, 1987.

J. Hilgert, “Maximal Semigroups and Controllability in Products of Lie Groups,” Archiv Math., vol. 49, pp. 189–195, 1987.

J. Hilgert and K. H. Hofmann, “Invariant Cones in Real Lie Algebras,” in Aspects of Positivity in Functional Analysis, R. Nagel and et al., Eds. North Holland, 1986.

J. Hilgert, “The Mayer-Vietoris and the Puppe Sequence in K-Theory for C*-algebras,” Studia Math., vol. 83, pp. 97–104, 1986.

J. Hilgert and K. H. Hofmann, “On the Automorphism Group of Cones and Wedges,” Geom. Dedicata, vol. 21, pp. 205–217, 1986.

J. Hilgert and K. H. Hofmann, “On Sophus Lie’s Fundamental Theorem,” J. Funct. Anal., vol. 67, pp. 1–27, 1986.

J. Hilgert, K. H. Hofmann, and J. D. Lawson, “Controllabilty of Systems on Nilpotent Lie Groups,” Beiträge Alg. Geom., vol. 20, pp. 185–190, 1985.

J. Hilgert and K. H. Hofmann, “Semigroups in Lie Groups, Semialgebras in Lie Algebras,” Trans. AMS, vol. 288, pp. 481–504, 1985.

J. Hilgert and K. H. Hofmann, “Lorentzian Cones in Real Lie Algebras,” Monatshefte Math., vol. 100, pp. 183–210, 1985.

J. Hilgert and K. H. Hofmann, “Lie Semialgebras are Real Phenomena,” Math. Ann., vol. 270, pp. 97–103, 1985.

J. Hilgert and K. H. Hofmann, “Old and New on SL(2),” Manuscripta Math., vol. 54, pp. 17–52, 1985.