Cohomology of Infinite-Dimensional Lie Algebras / by D.B. Fuks.
There is no question that the cohomology of infinite dimensional Lie algebras deserves a brief and separate mono graph. This subject is not cover̃d by any of the tradition al branches of mathematics and is characterized by relative ly elementary proofs and varied application. Moreover, the subject m...
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| Format: | eBook |
| Language: | English |
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Boston, MA :
Springer US,
1987.
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| Series: | Contemporary Soviet mathematics.
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Table of Contents:
- 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.