On the cohomology of associative algebras and Lie algebras
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- by Rolf Farnsteiner PDF
- Proc. Amer. Math. Soc. 99 (1987), 415-420 Request permission
Abstract:
This paper presents a sufficient condition for the vanishing of the cohomology groups of an associative algebra.References
- Donald W. Barnes, On the cohomology of soluble Lie algebras, Math. Z. 101 (1967), 343–349. MR 220784, DOI 10.1007/BF01109799
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- Claude Chevalley and Samuel Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85–124. MR 24908, DOI 10.1090/S0002-9947-1948-0024908-8
- J. Dixmier, Cohomologie des algèbres de Lie nilpotentes, Acta Sci. Math. (Szeged) 16 (1955), 246–250 (French). MR 74780 A. S. Dzhumadil’daev, On the cohomology of modular Lie algebras, Math. USSR-Sb. 47 (1984), 127-143.
- G. Hochschild, On the cohomology groups of an associative algebra, Ann. of Math. (2) 46 (1945), 58–67. MR 11076, DOI 10.2307/1969145
- Nathan Jacobson, Lie algebras, Dover Publications, Inc., New York, 1979. Republication of the 1962 original. MR 559927 J. H. C. Whitehead, On the decomposition of an infinitesimal group, Proc. Cambridge Philos. Soc. 32 (1936), 229-237. —, Certain equations in the algebra of a semi-simple infinitesimal group, Quart. J. Math. Oxford 8 (1937), 220-237.
Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 415-420
- MSC: Primary 17B56; Secondary 16A61
- DOI: https://doi.org/10.1090/S0002-9939-1987-0875373-X
- MathSciNet review: 875373