On 1-cohomology groups of infinite dimensional representations of semisimple Lie algebras

Akira HATTORI

doi:10.2969/jmsj/01630226

Akira HATTORI

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JOURNAL FREE ACCESS

1964 Volume 16 Issue 3 Pages 226-229

DOI https://doi.org/10.2969/jmsj/01630226

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Published: 1964 Received: February 22, 1964 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc., 63 (1948), 85-124.
2) Harish-Chandra, Some applications of the universal enveloping algebra of a semi-simple Lie algebra, Trans. Amer. Math. Soc., 70 (1951), 28-99.
3) A. Hattori, On fundamental exact sequences, J. Math. Soc. Japan, 12 (1960), 65-80.
4) K. Hirata, On module extensions, Sci. Rep. Tokyo Kyoiku Daigaku Sect. A., 6 (1959), 265-269.
5) G. Hochschild, Relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
6) N. Jacobson, Lie algebras, Interscience, 1962.
7) H. Kimura, On some infinite dimensional representations of semi-simple Lie algebras, to appear.
8) Séminaire “Sophus Lie”, 1 (1954/55), Ecole Norm. Sup.

Right : [1] C. Chevalley and S. Eilenberg, Cohomology theory of Lie groups and Lie algebras, Trans. Amer. Math. Soc., 63 (1948), 85-124.
[2] Harish-Chandra, Some applications of the universal enveloping algebra of a semi-simple Lie algebra, Trans. Amer. Math. Soc., 70 (1951), 28-99.
[3] A. Hattori, On fundamental exact sequences, J. Math. Soc. Japan, 12 (1960), 65-80.
[4] K. Hirata, On module extensions, Sci. Rep. Tokyo Kyôiku Daigaku Sect. A., 6 (1959), 265-269.
[5] G. Hochschild, Relative homological algebra, Trans. Amer. Math. Soc., 82 (1956), 246-269.
[6] N. Jacobson, Lie algebras, Interscience, 1962.
[7] H. Kimura, On some infinite dimensional representations of semi-simple Lie algebras, to appear.
[8] Séminaire “Sophus Lie”, 1 (1954/55), Ecole Norm. Sup.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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