Cohomology of Lie algebras over a manifold, I
ジャーナル
フリー
1974 年 26 巻 2 号 p. 324-361
詳細
- Published: 1974 Received: 1972/12/08 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes, I, Ann. of Math., 86 (1967), 374-407.
2) M. F. Atiyah and I. M. Singer, The index of elliptic operators, I, Ann. of Math., 87 (1968), 484-530.
3) H. Cartan and S. Eilenberg, Homological algebra, Princeton, 1956.
4) H. Cartan and L. Schwartz, Séminaire H. Cartan 1963/4, Paris, 1965.
5) J. Dieudonné and L. Schwartz, La dualité dans les espaces (F) et (LF), Ann. Inst. Fourier, 1 (1949), 61-101.
6) I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of tangential vector fields on a smooth manifold, 1, 2, Functional Analysis and their Applications, 3 (1969), 194-210, 4 (1970), 110-116.
7) I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of vector fields with nontrivial coefficients, Functional Analysis and their Applications, 4 (1970), 10-25.
8) I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of formal vector fields, Izv. Akad. Nauk SSSR, 34 (1970), 322-337 (Russian).
9) R. Godement, Topologie algébrique et théorie des faisceaux, Paris, 1958.
10) A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Memoirs of the Amer. Math. Soc., 16, 1955.
11) G. Hochshild and J. P. Serre, Cohomology of Lie algebras, Ann. of Math., 57 (1953), 591-603.
12) M. V. Losik, On the cohomologies of infinite-dimensional Lie algebras of vector fields, Functional Analysis and their Applications, 4 (1970), 127-135.
13) R. Narashimhan, Analysis on real and complex manifolds, Paris, 1968.
14) K. Shiga, The stable jet range of differential complexes, Proc. Japan Acad., 48 (1972), 49-51.
15) K. Shiga, Cohomology of Lie algebras over a manifold, Proc. Japan Acad., 49 (1973), 69-72.
16) H. Weyl, Classical groups, Princeton, 1939.
Right : [1] M. F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes, I, Ann. of Math., 86 (1967), 374-407.
[2] M. F. Atiyah and I. M. Singer, The index of elliptic operators, I, Ann. of Math., 87 (1968), 484-530.
[3] H. Cartan and S. Eilenberg, Homological algebra, Princeton, 1956.
[4] H. Cartan and L. Schwartz, Séminaire H. Cartan 1963/4, Paris, 1965.
[5] J. Dieudonné and L. Schwartz, La dualité dans les espaces (E) et (LE), Ann. Inst. Fourier, 1 (1949), 61-101.
[6] I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of tangential vector fields on a smooth manifold, 1, 2, Functional Analysis and their Applications, 3 (1969), 194-210, 4 (1970), 110-116.
[7] I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of vector fields with nontrivial coefficients, Functional Analysis and their Applications, 4 (1970), 10-25.
[8] I. M. Gelfand and D. B. Fuks, Cohomologies of Lie algebra of formal vector fields, Izv. Akad. Nauk SSSR, 34 (1970), 322-337 (Russian).
[9] R. Godement, Topologie algébrique et théorie des faisceaux, Paris, 1958.
[10] A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Memoirs of the Amer. Math. Soc., 16, 1955.
[11] G. Hochshild and J. P. Serre, Cohomology of Lie algebras, Ann. of Math., 57 (1953), 591-603.
[12] M. V. Losik, On the cohomologies of infinite-dimensional Lie algebras of vector fields, Functional Analysis and their Applications, 4 (1970), 127-135.
[13] R. Narashimhan, Analysis on real and complex manifolds, Paris, 1968.
[14] K. Shiga, The stable jet range of differential complexes, Proc. Japan Acad., 48 (1972), 49-51.
[15] K. Shiga, Cohomology of Lie algebras over a manifold, Proc. Japan Acad., 49 (1973), 69-72.
[16] H. Weyl, Classical groups, Princeton, 1939.
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