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References
Buchstaber V.M., Shokurov A.V. The Landweber-Novikov algebra and formal vector fields on the line.-Funct.Anal.Appl., 12, N 3, 1–11, (1978) (Russian).
Dwyer W.G. Homology, Massey products and maps between groups. J. Pure and Appl. Algebra, 6, 177–190, (1975).
Feigin B.L., Fuchs D.B. Homology of the Lie algebra of vector fields on the line.-Fucnt.Anal.Appl., 14, N 3, 45–60, (1980) (Russian).
Feigin B.L., Fuchs D.B. Skew-symmetric invariant differential operators on the line and Verma modules over the Virasoro algebra.-Funct.Anal.Appl., 16, N 2, 47–63, (1982), (Russian).
Feigin B.L., Fuchs D.B. Verma modules over the Virasoro algebra.-Lect. Notes Math., 1060, 230–245, (1984).
Feigin B.L., Fuchs D.B. Representations of the Virasoro algebra. In: "Representations of infinite-dimensional Lie algebras and Lie groups", Gordon & Breach, 1986.
Gelfand I.M., Feigin B.L., Fuchs D.B. Cohomology of infinite-dimensional Lie algebras and Laplace operators.-Funct.Anal.Appl., 12, N 4, 1–5, (1978), (Russian).
Goncharova L.V. Cohomology of Lie algebras of formal vector fields on the line.-Fucnt.Anal.Appl., 7, N 2, 6–14, (1973, (Russian).
Kac V.G. Contravariant form for infinite dimensional Lie algebras and superalgebras.-Lect.Notes Phys., 94, 441–445, (1979).
May J.P. Matric Massey products.-J.Algebra, 9, 533–568, (1969).
Retakh V.S. Opérations de Massey, la construction S et extensions de Yoneda.-C.R.Acad.Sci.Paris, 299, sér. 1, N 11, 475–478, (1984).
Retakh V.S., Feigin B.L. On the cohomology of some Lie algebras and superalgebras of vector fields.-Usp.Mat.Nauk, 37, N 2, 233–234, (1982), (Russian).
Rocha-Garidi A., Wallach N.R. Characters of irreducible representations of the Lie algebra of vector fields on the circle. Invent. Math., 72, 57–75, (1983).
Vainshtein F.V. Filtering bases, cohomology of infinite-dimensional Lie algebras and Laplace operators.-Fucnt.Anal.Appl., 19, N 4, 11–22, (1985), (Russian).
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Feigin, B.L., Fuchs, D.B., Retakh, V.S. (1988). Massey operations in the cohomology of the infinite dimensional Lie algebra L1 . In: Viro, O.Y., Vershik, A.M. (eds) Topology and Geometry — Rohlin Seminar. Lecture Notes in Mathematics, vol 1346. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082769
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DOI: https://doi.org/10.1007/BFb0082769
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