Cohomology Of Infinite-dimensional Lie Algebras (monographs In Contemporary Mathematics)

1. General Theory.- 1. Lie algebras.- 2. Modules.- 3. Cohomology and homology.- 4. Principal algebraic interpretations of cohomology.- 5. Main computational methods.- 6. Lie superalgebras.- 2. Computations.- 1. Computations for finite-dimensional Lie algebras.- 2. Computations for Lie algebras of formal vector fields. General results.- 3. Computations for Lie algebras of formal vector fields on the line.- 4. Computations for Lie algebras of smooth vector fields.- 5. Computations for current algebras.- 6. Computations for Lie superalgebras.- 3. Applications.- 1. Characteristic classes of foliations.- 2. Combinatorial identities.- 3. Invariant differential operators.- 4. Cohomology of Lie algebras and cohomology of Lie groups.- 5. Cohomology operations in cobordism theory..- References. D.b. Fuks ; Translated From Russian By A.b. Sosinskii. Translation Of: Kogomologii Beskonechnomernykh Algebr Li. Includes Index. Bibliography: P. 319-327.