A Lie product for the cohomology of subalgebras with coefficients in the quotient
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- by Albert Nijenhuis PDF
- Bull. Amer. Math. Soc. 73 (1967), 962-967
References
- Alfred Frölicher and Albert Nijenhuis, Theory of vector-valued differential forms. I. Derivations of the graded ring of differential forms, Nederl. Akad. Wetensch. Proc. Ser. A. 59 = Indag. Math. 18 (1956), 338–359. MR 0082554, DOI 10.1016/S1385-7258(56)50046-7
- Murray Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. (2) 78 (1963), 267–288. MR 161898, DOI 10.2307/1970343
- Murray Gerstenhaber, On the deformation of rings and algebras, Ann. of Math. (2) 79 (1964), 59–103. MR 171807, DOI 10.2307/1970484
- Albert Nijenhuis, Jacobi-type identities for bilinear differential concomitants of certain tensor fields. I, II, Nederl. Akad. Wetensch. Proc. Ser. A. 58 = Indag. Math. 17 (1955), 390–397, 398–403. MR 0074879, DOI 10.1016/S1385-7258(55)50054-0
- Albert Nijenhuis and R. W. Richardson Jr., Cohomology and deformations in graded Lie algebras, Bull. Amer. Math. Soc. 72 (1966), 1–29. MR 195995, DOI 10.1090/S0002-9904-1966-11401-5
- Albert Nijenhuis and R. W. Richardson Jr., Deformations of homomorphisms of Lie groups and Lie algebras, Bull. Amer. Math. Soc. 73 (1967), 175–179. MR 204575, DOI 10.1090/S0002-9904-1967-11703-8
- Albert Nijenhuis and R. W. Richardson Jr., Deformations of Lie algebra structures, J. Math. Mech. 17 (1967), 89–105. MR 0214636, DOI 10.1512/iumj.1968.17.17005
- R. W. Richardson Jr., A rigidity theorem for subalgebras of Lie and associative algebras, Illinois J. Math. 11 (1967), 92–110. MR 206170
- Albert Nijenhuis, The graded Lie algebras of an algebra, Nederl. Akad. Wetensch. Proc. Ser. A 70=Indag. Math. 29 (1967), 475–486. MR 0225828, DOI 10.1016/S1385-7258(67)50065-3
Additional Information
- Journal: Bull. Amer. Math. Soc. 73 (1967), 962-967
- DOI: https://doi.org/10.1090/S0002-9904-1967-11865-2
- MathSciNet review: 0217152