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Nijenhuis, A.; Richardson, R. W. jun.

Deformations of homomorphisms of Lie groups and Lie algebras. (English) Zbl 0153.04402

Bull. Am. Math. Soc. 73, 175-179 (1967).
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Cited in 2 Reviews
Cited in 83 Documents

Keywords:

group theory
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References:

[1] Claude Chevalley, Théorie des groupes de Lie. Tome II. Groupes algébriques, Actualités Sci. Ind. no. 1152, Hermann & Cie., Paris, 1951 (French). · Zbl 0054.01303
[2] Claude Chevalley and Samuel Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc. 63 (1948), 85 – 124. · Zbl 0031.24803
[3] Alfred Frölicher and Albert Nijenhuis, A theorem on stability of complex structures, Proc. Nat. Acad. Sci. U.S.A. 43 (1957), 239 – 241. · Zbl 0078.14201
[4] Murray Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. (2) 78 (1963), 267 – 288. · Zbl 0131.27302 · doi:10.2307/1970343
[5] Murray Gerstenhaber, On the deformation of rings and algebras, Ann. of Math. (2) 79 (1964), 59 – 103. · Zbl 0123.03101 · doi:10.2307/1970484
[6] G. Hochschild and G. D. Mostow, Cohomology of Lie groups, Illinois J. Math. 6 (1962), 367 – 401. · Zbl 0111.03302
[7] G. Hochschild and J.-P. Serre, Cohomology of Lie algebras, Ann. of Math. (2) 57 (1953), 591 – 603. · Zbl 0053.01402 · doi:10.2307/1969740
[8] M. Kuranishi, On the locally complete families of complex analytic structures, Ann. of Math. (2) 75 (1962), 536 – 577. · Zbl 0106.15303 · doi:10.2307/1970211
[9] Albert Nijenhuis and R. W. Richardson Jr., Cohomology and deformations in graded Lie algebras, Bull. Amer. Math. Soc. 72 (1966), 1 – 29. · Zbl 0136.30502
[10] André Weil, Remarks on the cohomology of groups, Ann. of Math. (2) 80 (1964), 149 – 157. · Zbl 0192.12802 · doi:10.2307/1970495
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