Derivations of the Lie algebras of analytic vector fields

Janusz Grabowski

Compositio Mathematica (1981)

  • Volume: 43, Issue: 2, page 239-252
  • ISSN: 0010-437X

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Grabowski, Janusz. "Derivations of the Lie algebras of analytic vector fields." Compositio Mathematica 43.2 (1981): 239-252. <http://eudml.org/doc/89499>.

@article{Grabowski1981,
author = {Grabowski, Janusz},
journal = {Compositio Mathematica},
keywords = {inner derivation; derivations of the Lie algebra of all holomorphic vector fields on a Stein manifold; derivations of the Lie algebra of all real analytic vector fields on a real analytic manifold},
language = {eng},
number = {2},
pages = {239-252},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Derivations of the Lie algebras of analytic vector fields},
url = {http://eudml.org/doc/89499},
volume = {43},
year = {1981},
}

TY - JOUR
AU - Grabowski, Janusz
TI - Derivations of the Lie algebras of analytic vector fields
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 43
IS - 2
SP - 239
EP - 252
LA - eng
KW - inner derivation; derivations of the Lie algebra of all holomorphic vector fields on a Stein manifold; derivations of the Lie algebra of all real analytic vector fields on a real analytic manifold
UR - http://eudml.org/doc/89499
ER -

References

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  1. [1] A. Aves, A. Lichnerowicz and A. Diaz-Miranda: Sur l'algebre des automorphismes infinitésimaux d'une variété symplectique. J. Diff. Geom.9 (1974) 1-40. Zbl0283.53033
  2. [2] F. Bruhat and H. Whitney: Quelques properiétés fondamentales des ensembles analytiques-réels. Commen. Math. Helv.33 (1959) 132-160. Zbl0100.08101MR102094
  3. [3] J. Grabowski: Isomorphisms and ideals of the Lie algebras of vector fields. Invent. Math.50 (1978) 13-33. Zbl0378.57010MR516602
  4. [4] H. Grauert: On Levi's problem and the imbedding of real-analytic manifolds. Ann. Math.68 (1958) 460-472. Zbl0108.07804MR98847
  5. [5] R. Gunnig and H. Rossi: Analytic Functions of Several Complex Variables. New York: Prentice-Hall, Inc., Englewood Cliffs (1965). Zbl0141.08601MR180696
  6. [6] J. Heinze: Über die recht-symetrische Algebra und die Lie-Algebra der konvergenten Potenzreihen eines Banachraumes. Schr. Math. Inst. Univ. Münster2. Serie 16 (1979). Zbl0404.46027MR529582
  7. [7] T. Morimoto: The derivation algebras of the classical infinite Lie algebras. J. Math. Kyoto Univ.16 (1976) 1-24. Zbl0335.17009MR420649
  8. [8] R. Narasimhan: Imbedding of holomorphically complete complex spaces. Amer. J. Math.82 (1960) 917-934. Zbl0104.05402MR148942
  9. [9] F. Takens: Derivation of vector fields. Compositio Math. 26 (1973) 151-158. Zbl0258.58005MR315723

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