Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Characterization of the Mod 3 Cohomology of the Compact, Connected, Simple, Exceptional Lie Groups of Rank 6

Characterization of the Mod 3 Cohomology of the Compact, Connected, Simple, Exceptional Lie... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Characterization of the Mod 3 Cohomology of the Compact, Connected, Simple, Exceptional Lie Groups of Rank 6

Loading next page...
 
/lp/wiley/characterization-of-the-mod-3-cohomology-of-the-compact-connected-FgEfW06a7r

References (24)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S0024609303002121
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Sep 1, 2003

There are no references for this article.