Algebraic characterizations of the algebra of functions and of the Lie algebra of vector fields of a manifold

M. De Wilde; P. Lecomte

Compositio Mathematica (1982)

  • Volume: 45, Issue: 2, page 199-205
  • ISSN: 0010-437X

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De Wilde, M., and Lecomte, P.. "Algebraic characterizations of the algebra of functions and of the Lie algebra of vector fields of a manifold." Compositio Mathematica 45.2 (1982): 199-205. <http://eudml.org/doc/89534>.

@article{DeWilde1982,
author = {De Wilde, M., Lecomte, P.},
journal = {Compositio Mathematica},
keywords = {adjoint action of Lie derivative; algebraic structure of function spaces on a manifold},
language = {eng},
number = {2},
pages = {199-205},
publisher = {Martinus Nijhoff Publishers},
title = {Algebraic characterizations of the algebra of functions and of the Lie algebra of vector fields of a manifold},
url = {http://eudml.org/doc/89534},
volume = {45},
year = {1982},
}

TY - JOUR
AU - De Wilde, M.
AU - Lecomte, P.
TI - Algebraic characterizations of the algebra of functions and of the Lie algebra of vector fields of a manifold
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 45
IS - 2
SP - 199
EP - 205
LA - eng
KW - adjoint action of Lie derivative; algebraic structure of function spaces on a manifold
UR - http://eudml.org/doc/89534
ER -

References

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  1. [1] M. Cahen, M. De Wilde and S. Gutt: Local cohomology of the algebra of C∞ functions on a connected manifold. Lett. in Math. Physics4 (1980), 157-167. Zbl0453.58026
  2. [2] W. Greub, S. Halperin and R. Vanstone: Connections, curvature and cohomology, Vol. I, Academic Press, New York and London (1973). Zbl0322.58001
  3. [3] R. Palais: Natural operations on differential forms. Trans. A.M.S.92 (1959), 125-141. Zbl0092.30802MR116352
  4. [4] S. Van Strien: Unicity of the Lie Product. Comp. Math.40 (1980), 79-85. Zbl0425.58001MR558259

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