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Cohomology of the infinite-dimensional Lie algebra $L_1$ with nontrivial coefficients
Author(s):
B. L.
Feigin;
A.
Fialowski
Journal:
Bull. Amer. Math. Soc.
17
(1987),
333-337.
MSC (1985):
Primary 17B56;
Secondary 17B65, 58H10
MathSciNet review:
903746
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Additional information
References:
- 1.
- I. N. Bernstein, I. M. Gelfand, and S. I. Gelfand, Differential operators on the basic affine space and a study of g-modules, Lie Groups and Their Representations, Summer school of the Bolyai Janos Math. Soc. (Hungary) (I. M. Gelfand, ed.), pp. 21-64, New York: Division of Wiley and Sons, Halsted Press, 1975.
- 2.
- B. L. Feigin and A. Fialowski, On the cohomology of nilpotent algebras of flows, Dokl. Akad. Nauk SSSR 271 (1983), 813-816; English translation: Soviet Math. Doklady 28 (1983), No. 1, 178-181. MR 719826
- 3.
- B. L. Feigin and D. B. Fuks, Homology of the Lie algebra of vector fields on the line, Funktsional Anal. Prilozhen. 14 (1980), No. 3, 45-60; English translation: Funct. Anal. Appl. 14 (1980), 201-212. MR 583800
- 4.
- B. L. Feigin and V. S. Retakh, On the cohomology of certain Lie algebras and super-algebras of vector fields, Uspekhi Mat. Nauk 37 (1982), No. 2, 233-234; English translation: Russian Math. Surveys 38 (1982), No. 2, 251-252. MR 650787
- 5.
- A. Fialowski, Deformations of the Lie algebra of vector fields on the line, Uspekhi Mat. Nauk 38 (1983), No. 1, 201-202; English translation: Russian Math. Surveys 38 (1983), No. 1, 185-186. MR 693748
- 6.
- D. B. Fuks, Cohomology of infinite dimensional Lie algebras, Contemporary Soviet Math., Consultants Bureau, New York, 1986. §2.4. MR 874337
- 7.
- L. V. Goncharova, Cohomology of Lie algebras of formal vector fields on the line, Funk-tsional Anal. Prilozhen. 7 (1973), No. 2, 6-14; English translation: Funct. Anal. Appl. 7 (1973), 91-97. MR 339298
- 8.
- B. Kostant, Lie algebra cohomology and the generalized Borel-Weil Theorem, Ann. of Math. (2) 74 (1951), 329-387. MR 142696
- 9.
- S. Mac Lane, Homology, Springer-Verlag, 1963. MR 1344215
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15581-9
PII:
S 0273-0979(1987)15581-9
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