On cohomology mod 2 of the classifying spaces of non-simply connected classical Lie groups

Akira KONO

doi:10.2969/jmsj/02720281

Akira KONO

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JOURNAL FREE ACCESS

1975 Volume 27 Issue 2 Pages 281-288

DOI https://doi.org/10.2969/jmsj/02720281

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Published: 1975 Received: May 31, 1974 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) S. Araki, On cohomology mod p of compact exceptional Lie groups, Sugaku, 14 (1963), 219-235, (in Japanese).
2) P. Baum and W. Browder, The cohomology of quotient of classical groups, Topology, 3 (1965), 305-336.
3) A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math., 57 (1953), 115-207.
4) A. Borel, Sur 1'homologie et la cohomologie des groupes de Lie compacts connexes, Amer. J. Math., 76 (1954), 273-342.
5) A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), 459-538.
6) A. Borel and J. -P. Serre, Sur certains sous-groupes des groupes de Lie compacts, Comm. Math. Helv., 27 (1953), 128-139.
7) J. Kojima, On the Pontrjagin product mod 2 of Spinor groups, Mem. Fac. Sci. Kyushu Univ., Ser. A., 11 (1957), 1-14.
8) J. Milnor, Construction of universal bundles II, Ann. of Math., 63 (1956), 430-436.
9) D. Quillen, The mod 2 cohomology rings of extra special 2-groups and the Spinor groups, Math. Ann., 194 (1971), 197-212.
10) J.-P. Serre, Homologie singulière des espaces fibrés, applications, Ann. of Math., 54 (1951), 425-505.
11) H. Toda, Cohomology operations and Pontrjagin products in the exceptional Lie groups, (to appear).

Right : [1] S. Araki, On cohomology mod p of compact exceptional Lie groups, Sugaku, 14 (1963), 219-235, (in Japanese).
[2] P. Baum and W. Browder, The cohomology of quotient of classical groups, Topology, 3 (1965), 305-336.
[3] A. Borel, Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts, Ann. of Math., 57 (1953), 115-207.
[4] A. Borel, Sur l'homologie et la cohomologie des groupes de Lie compacts connexes, Amer. J. Math., 76 (1954), 273-342.
[5] A. Borel and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math., 80 (1958), 459-538.
[6] A. Borel and J. -P. Serre, Sur certains sous-groupes des groupes de Lie compacts, Comm. Math. Helv., 27 (1953), 128-139.
[7] J. Kojima, On the Pontrjagin product mod 2 of Spinor groups, Mem. Fac. Sci. Kyushu Univ., Ser. A., 11 (1957), 1-14.
[8] J. Milnor, Construction of universal bundles II, Ann. of Math., 63 (1956), 430-436.
[9] D. Quillen, The mod 2 cohomology rings of extra special 2-groups and the Spinor groups, Math. Ann., 194 (1971), 197-212.
[10] J. -P. Serre, Homologie singulière des espaces fibrés, applications, Ann. of Math., 54 (1951), 425-505.
[11] H. Toda, Cohomology operations and Pontrjagin products in the exceptional Lie groups, (to appear).

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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