Adjoint action of a finite loop space
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Abstract:
Adjoint actions of compact simply connected Lie groups are studied by A. Kono and K. Kozima based on the series of studies on the classification of compact Lie groups and their cohomologies. At odd primes, there is a simpler homotopy theoretic approach that will prove the results of Kono and Kozima for any finite loop spaces. However, there are some technical difficulties at the prime 2.References
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Additional Information
- Norio Iwase
- Affiliation: Graduate School of Mathematics Ropponmatsu, Kyushu University, Ropponmatsu 4-2-1, Fukuoka 810, Japan
- Email: iwase@math.kyushu-u.ac.jp
- Received by editor(s): November 21, 1995
- Received by editor(s) in revised form: March 21, 1996
- Additional Notes: This research was supported by Grant-in-Aid for Scientists (C)08640125 from the Ministry of Education, Science and Culture of Japan.
- Communicated by: Thomas Goodwillie
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2753-2757
- MSC (1991): Primary 55P45, 55Q25; Secondary 55N20
- DOI: https://doi.org/10.1090/S0002-9939-97-03924-5
- MathSciNet review: 1401745
Dedicated: Dedicated to the memory of Kiyono Iwase