دانلود کتاب Cohomology of Infinite-Dimensional Lie Algebras

فهرست مطالب :

Contents
Chapter 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
Chapter 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
Chapter 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
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Appendix
1. Cohomology of Lie Algebras of Generalized Jacobian Matrices
2. Stable Cohomology of the Algebra Wn with Tensor Coefficients and Generators and Relations for the Algebra L1(n)
3. Invariant Differential Operators in General Position on the Line (see 3.3.3)
REFERENCES
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