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James Lin (1976)
Torsion in H-spaces IIAnnals of Mathematics, 103
A. Borel (1961)
Sous-groupes commutatifs et torsion des groupes de Lie compacts connexesTohoku Mathematical Journal, 13
P. Baum, W. Browder (1965)
THE COHOMOLOGY OF QUOTIENTS OF CLASSICAL GROUPSTopology, 3
Nobuo Shimada, Tsuneyo Yamanoshita (1961)
On triviality of the mod p Hopf invariantJapanese journal of mathematics :transactions and abstracts, 31
(1995)
H-spaces with finiteness conditions’, Handbook of algebraic topology (ed
A. Liulevicius (1960)
THE FACTORIZATION OF CYCLIC REDUCED POWERS BY SECONDARY COHOMOLOGY OPERATIONS.Proceedings of the National Academy of Sciences of the United States of America, 46 7
F. Borel (1978)
Sur les groupes fondamentaux desH-espacesCommentarii Mathematici Helvetici, 53
A. Zabrodsky (1970)
Implications in the cohomology of $H$-spacesIllinois Journal of Mathematics, 14
R. Kane (1986)
The homology algebra of finite H-spacesJournal of Pure and Applied Algebra, 41
A. Kono (1977)
Hopf algebra structure of simple Lie groupsJournal of Mathematics of Kyoto University, 17
J. Stasheff (1963)
Homotopy associativity of $H$-spaces. IITransactions of the American Mathematical Society, 108
R. Kane (1975)
ON LOOP SPACES WITHOUT P TORSIONPacific Journal of Mathematics, 60
David Kraines (1977)
The kernel of the loop suspension mapIllinois Journal of Mathematics, 21
O. Nishimura (1999)
On the Hopf algebra structure of the mod 3 cohomology of the exceptional Lie group of type $E_6$Journal of Mathematics of Kyoto University, 39
R. Kane (2012)
Homology of Hopf spaces, 40
R. Kane (1976)
The module of indecomposables for finite $H$-spacesTransactions of the American Mathematical Society, 222
W. Browder (1959)
The cohomology of covering spaces of $H$-spacesBulletin of the American Mathematical Society, 65
Norio Iwase (1984)
On the K-ring structure of X-projective n-spaceMemoirs of The Faculty of Science, Kyushu University. Series A, Mathematics, 38
J. Milnor, John Moore (1965)
On the Structure of Hopf AlgebrasAnnals of Mathematics, 81
Allan Clark (1965)
Homotopy commutativity and the Moore spectral sequencePacific Journal of Mathematics, 15
Hiroaki Hamanaka, Shintaro Hara (1997)
The mod 3 homology of the space of loops on the exceptional Lie groups and the adjoint actionJournal of Mathematics of Kyoto University, 37
A. Kono, Kazumoto Kozima (1993)
The adjoint action of a Lie group on the space of loopsJournal of The Mathematical Society of Japan, 45
R. Kane (1976)
Torsion in homotopy associative $H$-spacesIllinois Journal of Mathematics, 20
S. Araki (1961)
Differential Hopf Algebras and the Cohomology Mod 3 of the Compact Exceptional Groups E 7 and E 8Annals of Mathematics, 73
It is shown that the mod 3 cohomology of a 1‐connected, homotopy associative mod 3 H‐space that is rationally equivalent to the Lie group E6 is isomorphic to that of E6 as an algebra. Moreover, it is shown that the mod 3 cohomology of a nilpotent, homotopy‐associative mod 3 H‐space that is rationally equivalent to E6, and whose fundamental group localized at 3 is non‐trivial, is isomorphic to that of the Lie group Ad E6 as a Hopf algebra over the mod 3 Steenrod algebra. It is also shown that the mod 3 cohomology of the universal cover of such an H‐space is isomorphic to that of E6 as a Hopf algebra over the mod 3 Steenrod algebra. 2000 Mathematics Subject Classification 57T05, 57T10, 57T25.
Bulletin of the London Mathematical Society – Wiley
Published: Sep 1, 2003
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