Semigroup Forum

, Volume 35, Issue 1, pp 1–27 | Cite as

Fields of tangent sets and hofmann cones

  • Jimmie D. Lawson
Research article

Keywords

Jacobi Identity Algebraic Multiplicity Tangent Hyperplane Generalize Eigenspace Lorentzian Cone 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [Bo 69] J. M. Bony, Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérés,Ann. Inst. Fourier Grenoble 19 (1969), 277–304.MATHMathSciNetGoogle Scholar
  2. [Bou] N. Bourbaki,Groupes et algèbres de Lie, Chaps. 7,8, Hermann Paris, 1972.Google Scholar
  3. [Br 70] J. Brezis, On a characterization of flow-invariant sets,Comm. Pure Appl. Math. 23 (1970), 262–263.Google Scholar
  4. [GL 84] A. K. Guts and A. V. Levichev, K osnovanyam teorii otnositel'nosti,Dokladii AN USSR 277 (1984), 1299–1302. (On the foundations of the theory of relativity.)MathSciNetGoogle Scholar
  5. [HH 85a] J. Hilgert and K. H. Hofmann, “Semigroups in Lie groups, semialgebras in Lie algebras,”Trans. Amer. Math. Soc. 288 (1985), 481–504.MATHCrossRefMathSciNetGoogle Scholar
  6. [HH 85b] J. Hilgert and K. H. Hofmann, “Lorentzian cones in real Lie algebras,”Mh. Math. 100 (1985), 183–210.MATHCrossRefMathSciNetGoogle Scholar
  7. [HH 85c] J. Hilgert and K. H. Hofmann, “Old and new on Sl(2),”Manuscripta Math. 54 (1985), 17–52.MATHCrossRefMathSciNetGoogle Scholar
  8. [HH 85d] J. Hilgert and K. H. Hofmann, “Lie semialgebras are real phenomena,”Math. Ann. 270 (1985), 97–103.CrossRefMathSciNetGoogle Scholar
  9. [HHL 87] J. Hilgert, K. H. Hofmann, and J. D. Lawson,The Lie Theory of Semigroups, (to appear).Google Scholar
  10. [Ho 72] K. H. Hofmann, “Die Formel von Campbell, Hausdorff, und Dynkin und die Definition Liescher Gruppen,”Theory of Sets and Topology, VEB Deutsch. Verlag Wissensch., Berlin, 1972, 251–264.Google Scholar
  11. [HL 81] K. H. Hofmann and J. D. Lawson, “The local theory of semigroups in nilpotent Lie groups,”Semigroup Forum 23 (1981), 343–357.MATHMathSciNetGoogle Scholar
  12. [HL 83a] K. H. Hofmann and J. D. Lawson, “Foundations of Lie semigroups,”Proceedings Conference on Semigroups in Oberwolfach 1981, Springer Lecture Note in Mathematics 998 (1983), Springer Verlag, 128–201.Google Scholar
  13. [HL 83b] K. H. Hofmann and J. D. Lawson, “Divisible subsemigroups of Lie groups,”J. London Math. Soc. 27 (1983), 427–434.MATHCrossRefMathSciNetGoogle Scholar
  14. [Hö] L. Hörmander, Pseudodifferential operators of principal type, H. G. Garnir, Ed.,Singularities in Boundary Value Problems, D. Reidel, Dordrecht, 1981, 69–96.Google Scholar
  15. [Hm] D. Husemoller,Fibre Bundles. McGraw-Hill, New York, 1966.MATHGoogle Scholar
  16. [Ka 76] T. Kato,Perturbation Theory for Linear Operators, Springer-Verlag, Heidelberg, 1976.MATHGoogle Scholar
  17. [Le 84] A. Levichev, “Some applications of Lie semigroups theory in relativity,” Workshop on the Lie Theory of semigroups, Darmstadt Technical University, 1984.Google Scholar
  18. [LR 86] L. D. Lawson and W. Ruppert, “A note on Hofmann wedges,” Report, Seminar on the Lie Theory of Semigroups, 1986, circulated preprint.Google Scholar
  19. [Os] A. M. Ostrowski,Solution of Equations in Euclidean and Banach Spaces, Academic Press, New York, 1973.MATHGoogle Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Jimmie D. Lawson
    • 1
  1. 1.Department of MathematicsLouisiana State UniversityBaton RougeUSA

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