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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Cohomology of the infinite-dimensional Lie algebra $L_1$ with nontrivial coefficients
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by B. L. Feigin and A. Fialowski PDF
Bull. Amer. Math. Soc. 17 (1987), 333-337
References
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  • B. L. Feĭgin and A. Fialovski, The cohomology of nilpotent algebras of flows, Dokl. Akad. Nauk SSSR 271 (1983), no. 4, 813–816 (Russian). MR 719826
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  • V. S. Retakh and B. L. Feĭgin, Cohomology of some Lie algebras and superalgebras of vector fields, Uspekhi Mat. Nauk 37 (1982), no. 2(224), 233–234 (Russian). MR 650787
  • A. Fialovski, Deformations of the Lie algebra of vector fields on the line, Uspekhi Mat. Nauk 38 (1983), no. 1(229), 201–202 (Russian). MR 693748
  • D. B. Fuks, Cohomology of infinite-dimensional Lie algebras, Contemporary Soviet Mathematics, Consultants Bureau, New York, 1986. Translated from the Russian by A. B. Sosinskiĭ. MR 874337, DOI 10.1007/978-1-4684-8765-7
  • L. V. Gončarova, Cohomology of Lie algebras of formal vector fields on the line, Funkcional. Anal. i Priložen. 7 (1973), no. 2, 6–14 (Russian). MR 0339298
  • Bertram Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math. (2) 74 (1961), 329–387. MR 142696, DOI 10.2307/1970237
  • Saunders Mac Lane, Homology, Classics in Mathematics, Springer-Verlag, Berlin, 1995. Reprint of the 1975 edition. MR 1344215
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 17 (1987), 333-337
  • MSC (1985): Primary 17B56; Secondary 17B65, 58H10
  • DOI: https://doi.org/10.1090/S0273-0979-1987-15581-9
  • MathSciNet review: 903746