Continuous cohomology of the Lie algebra of vector fields / Toru Tsujishita.

Format:

Book

Author/Creator:

Tsujishita, Tōru, 1950- author.

Series:

Memoirs of the American Mathematical Society ; no. 253.

Memoirs of the American Mathematical Society, 0065-9266 ; number 253

Language:

English

Subjects (All):

Vector fields.

Lie algebras.

Homology theory.

Physical Description:

1 online resource (160 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1981]

Language Note:

English

Contents:

""Section 3. Lie algebra cohomology""""3.1. Definitions""; ""3.2. Differential graded modules with Lie algebra actions""; ""3.3. Cohomology of L[sub(0)]""; ""3.4. Weil algebras""; ""Section 4. Frame bundles of manifolds""; ""4.1. Group of formal diffeomorphisms""; ""4.2. Frame bundles""; ""Section 5. Statements of the main results""; ""5.1. The fundamental theorem""; ""5.2. Topological interpretation of H(L[sub(M)], F[sub(M)])""; ""5.3. Compact support coefficients""; ""5.4. Distribution coefficients""; ""5.5. The case of L[sup(c)][sub(M)]""; ""Section 6. Diagonal cohomologies""

""6.1. Guillemin-Losik Theorem""""6.2. A strong form of Guillemin-Losik Theorem""; ""6.3. Losik Theorem""; ""6.4. Distribution coefficients""; ""Section 7. Haefliger Theorem""; ""Section 8. Proof of Theorem I""; ""Section 9. Proof of Theorem II""; ""Section 10. Proof of Theorem(1.3.1)""; ""References""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0660-8