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A Lie product for the cohomology of subalgebras with coefficients in the quotient
Author:
Albert Nijenhuis
Journal:
Bull. Amer. Math. Soc. 73 (1967), 962-967
MathSciNet review:
0217152
Full-text PDF
References |
Additional Information
- 1.
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
(18,569c)
- 2.
Murray
Gerstenhaber, The cohomology structure of an associative ring,
Ann. of Math. (2) 78 (1963), 267–288. MR 0161898
(28 #5102)
- 3.
Murray
Gerstenhaber, On the deformation of rings and algebras, Ann.
of Math. (2) 79 (1964), 59–103. MR 0171807
(30 #2034)
- 4.
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
(17,661c)
- 5.
Albert
Nijenhuis and R.
W. Richardson Jr., Cohomology and deformations in graded
Lie algebras, Bull. Amer. Math. Soc. 72 (1966), 1–29. MR 0195995
(33 #4190), http://dx.doi.org/10.1090/S0002-9904-1966-11401-5
- 6.
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 0204575
(34 #4414), http://dx.doi.org/10.1090/S0002-9904-1967-11703-8
- 7.
Albert
Nijenhuis and R.
W. Richardson Jr., Deformations of Lie algebra structures, J.
Math. Mech. 17 (1967), 89–105. MR 0214636
(35 #5485)
- 8.
R.
W. Richardson Jr., A rigidity theorem for subalgebras of Lie and
associative algebras, Illinois J. Math. 11 (1967),
92–110. MR
0206170 (34 #5992)
- 9.
Albert
Nijenhuis, The graded Lie algebras of an algebra, Nederl.
Akad. Wetensch. Proc. Ser. A 70=Indag. Math. 29 (1967),
475–486. MR 0225828
(37 #1420a)
- 1.
- A. Frölicher and A. Nijenhuis, Theory of vector-valued differential forms, Part I, Kon. Nederl. Akad. Wetensch. Proc. A59-Indag. Math. 18 (1956), 338-359. MR 82554
- 2.
- M. Gerstenhaber, The cohomology structure of an associative ring, Ann. of Math. (2) 78 (1963), 267-288. MR 161898
- 3.
- M. Gerstenhaber, On the deformation of rings and algebras, Ann. of Math. (2) 79 (1964), 59-103. MR 171807
- 4.
- A. Nijenhuis, Jacobi-type identities for bilinear differential concomitants of certain tensor fields, Kon. Nederl. Akad. Wetensch. Proc. A58-Indag. Math. 17 (1955), 390-403. MR 74879
- 5.
- A. Nijenhuis and R. W. Richardson, Cohomology and deformations in graded Lie algebras, Bull. Amer. Math. Soc. 72 1(1966), 1-29. MR 195995
- 6.
- A. Nijenhuis, Deformations of homorphisms of Lie groups and Lie algebras, Bull. Amer. Math. Soc. 73 (1967), 175-179. MR 204575
- 7.
- A. Nijenhuis, Deformations of Lie algebra structures, J. Math. Mech. 17 (1967), 89-106. MR 214636
- 8.
- R. W. Richardson, A rigidity theorem for subalgebras of Lie and associative algebras, Illinois J. Math. 11 (1967), 92-110. MR 206170
- 9.
- A. Nijenhuis, The graded Lie algebras of an algebra, Kon. Nederl. Akad. Wetensch. Proc.-Indag. Math. (to appear). MR 225828
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1967-11865-2
PII:
S 0002-9904(1967)11865-2
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