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Relative Cohomology of Algebraic Linear Groups, II

Published online by Cambridge University Press:  22 January 2016

Hiroshi Kimura
Hiroshi Kimura*
Affiliation:
Mathematical Institute, Nagoya University
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Let G be an algebraic linear group over a field F of characteristic 0, and let H be an algebraic subgroup of G. Let A, M be rational G-modules. In [4], we defined (A, M), and, in particular, relative cohomology groups Hn(G, H, M) were defined as (F, M).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966 , pp. 89 - 99
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

[1] Nakayama, T. and Hattori, A., Homological algebra, Kyoritsu Press, Tokyo, 1957 (Japanese).Google Scholar
[2] Hochschild, G., Cohomology of algebraic linear groups, Illinois J. Math., vol. 5 (1961), 492–519.Google Scholar
[3] Hochschild, G., Rationally injective modules for algebraic linear groups, Proc. Amer. Math. Soc., vol. 14 (1963), 880–883.Google Scholar
[4] Kimura, H., Relative cohomology of algebraic linear groups, Science report of the Tokyo Kyoiku Daigaku, A, vol. 8 (1964), 271–279.Google Scholar
[5] Yoneda, N., On the homology theory of modules, J. Fac. Sci. Univ. Tokyo, Sec. I, VII (1954), 193–227.Google Scholar