Fuks, D. B. [Sosinskiĭ, A. B.] Cohomology of infinite-dimensional Lie algebras. Transl. from the Russian by A. B. Sosinskiĭ. (English) Zbl 0667.17005 Contemporary Soviet Mathematics. New York: Consultants Bureau. xii, 339 p.; $ 85.00 (1986). See the review of the Russian original (Nauka, Moskva 1984) in Zbl 0592.17011. Cited in 8 ReviewsCited in 192 Documents MSC: 17B56 Cohomology of Lie (super)algebras 17B65 Infinite-dimensional Lie (super)algebras 17-02 Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras 17A70 Superalgebras 22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties 57T10 Homology and cohomology of Lie groups 55N22 Bordism and cobordism theories and formal group laws in algebraic topology 17B55 Homological methods in Lie (super)algebras Keywords:formal vector fields; loop algebra; spectral sequence; cohomology; infinite dimensional Lie algebras; deformations; current algebras; smooth vector fields; characteristic classes; foliations; cobordism theory; combinatorial identities; invariant differential operators; cohomology of Lie groups; Kac-Moody groups; cohomology of Lie superalgebras Citations:Zbl 0592.17011 PDFBibTeX XML