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

Compositio Mathematica (1982)

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

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topDe 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

top- [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] W. Greub, S. Halperin and R. Vanstone: Connections, curvature and cohomology, Vol. I, Academic Press, New York and London (1973). Zbl0322.58001
- [3] R. Palais: Natural operations on differential forms. Trans. A.M.S.92 (1959), 125-141. Zbl0092.30802MR116352
- [4] S. Van Strien: Unicity of the Lie Product. Comp. Math.40 (1980), 79-85. Zbl0425.58001MR558259

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