The Lie algebra of a smooth manifold
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- by M. E. Shanks and Lyle E. Pursell
- Proc. Amer. Math. Soc. 5 (1954), 468-472
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064764-3
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References
- I. Gelfand and A. Kolmogoroff, On rings of continuous functions on topological spaces, C. R. (Doklady) Acad. Sci. URSS. vol. 22 (1939) pp. 11-15.
- M. H. Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), no. 3, 375–481. MR 1501905, DOI 10.1090/S0002-9947-1937-1501905-7
- Edwin Hewitt, Rings of real-valued continuous functions. I, Trans. Amer. Math. Soc. 64 (1948), 45–99. MR 26239, DOI 10.1090/S0002-9947-1948-0026239-9 L. E. Pursell, Algebraic structures associated with smooth manifolds, Thesis, Purdue University, 1952. C. Chevalley, Theory of Lie groups, Princeton, 1946.
- Henri Cartan, Notions d’algèbre différentielle; application aux groupes de Lie et aux variétés où opère un groupe de Lie, Colloque de topologie (espaces fibrés), Bruxelles, 1950, Georges Thone, Liège; Masson & Cie, Paris, 1951, pp. 15–27 (French). MR 0042426 M. E. Shanks, Rings of functions on locally compact spaces, Bull. Amer. Math. Soc. Abstract 57-4-365.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 468-472
- MSC: Primary 09.1X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0064764-3
- MathSciNet review: 0064764