Cohomology of Lie algebras over a manifold, II

Koji SHIGA

doi:10.2969/jmsj/02640587

Koji SHIGA

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JOURNAL FREE ACCESS

1974 Volume 26 Issue 4 Pages 587-607

DOI https://doi.org/10.2969/jmsj/02640587

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Published: 1974 Received: February 28, 1973 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) I. Amemiya, K. Masuda and K. Shiga, Lie algebras of differential operators, Osaka J. Math. (to appear).
2) M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes, I, Ann. of Math., 86 (1967), 374-407.
3) H. Cartan and J. P. Serre, Un théorème de finitude concernant les variétés analytiques compactes, C.R. Acad Sci., Paris, 237 (1953), 128-130.
4) I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of vector fields with non-trivial coefficients, Functional Analysis and their Applications, 4 (1970), 10-25.
5) M. V. Losik, On the cohomologies of infinite-dimensional Lie algebras of vector fields, Functional Analysis and their Applications, 4 (1970), 127-135.
6) K. Shiga, Cohomology of Lie algebras over a manifold, I, J. Math. Soc. Japan, 26 (1974), 324-361.

Right : [1] I. Amemiya, K. Masuda and K. Shiga, Lie algebras of differential operators, Osaka J. Math. (to appear).
[2] M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes, I, Ann. of Math., 86 (1967), 374-407.
[3] H. Cartan and J. P. Serre, Un théorème de finitude concernant les variétés analytiques compactes, C. R. Acad Sci., Paris, 237 (1953), 128-130.
[4] I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of vector fields with non-trivial coefficients, Functional Analysis and their Applications, 4 (1970), 10-25.
[5] M. V. Losik, On the cohomologies of infinite-dimensional Lie algebras of vector fields, Functional Analysis and their Applications, 4 (1970), 127-135.
[6] K. Shiga, Cohomology of Lie algebras over a manifold, I, J. Math. Soc. Japan, 26 (1974), 324-361.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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