A remark on the character ring of a compact Lie group

Masaru TAKEUCHI

doi:10.2969/jmsj/02340662

Masaru TAKEUCHI

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JOURNAL FREE ACCESS

1971 Volume 23 Issue 4 Pages 662-675

DOI https://doi.org/10.2969/jmsj/02340662

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Published: 1971 Received: March 29, 1971 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) M. F. Atiyah, Characters and cohomology of finite groups, Pub. Math. I. H. E. S., 9 (1961), 247-288.
2) M. F. Atiyah, R. Bott and A. Shapiro, Clifford modules, Topology, 3, Suppl. (1964), 3-38.
3) W. Feit, Characters of finite groups, Benjamin, New York, 1967.
4) F. Gantmacher, Canonical representation of automorphisms of a complex semi-simple Lie group, Mat. Sb., 47 (1939), 101-143.
5) N. Iwahori and H. Matsumoto, Several remarks on projective representations of finite groups, J. Fac. Sci. Univ. Tokyo, I, 10 (1964), 129-146.
6) B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math., 74 (1961), 329-387.
7) H. Minami, The representation rings of orthogonal groups, to appear in Osaka J. Math., 8 (1971).

Right : [1] M. F. Atiyah, Characters and cohomology of finite groups, Pub. Math. I. H. E. S., 9 (1961), 247-288.
[2] M. F. Atiyah, R. Bott and A. Shapiro, Clifford modules, Topology, 3, Suppl. (1964), 3-38.
[3] W. Feit, Characters of finite groups, Benjamin, New York, 1967.
[4] F. Gantmacher, Canonical representation of automorphisms of a complex semisimple Lie group, Mat. Sb., 47 (1939), 101-143.
[5] N. Iwahori and H. Matsumoto, Several remarks on projective representations of finite groups, J. Fac. Sci. Univ. Tokyo, I, 10 (1964), 129-146.
[6] B. Kostant, Lie algebra cohomology and the generalized Borel-Weil theorem, Ann. of Math., 74 (1961), 329-387.
[7] H. Minami, The representation rings of orthogonal groups, to appear in Osaka J. Math., 8 (1971).

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