### 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.

Original language | English |
---|---|

Pages (from-to) | 2753-2757 |

Number of pages | 5 |

Journal | Proceedings of the American Mathematical Society |

Volume | 125 |

Issue number | 9 |

Publication status | Published - Dec 1 1997 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*125*(9), 2753-2757.

**Adjoint action of a finite loop space.** / Iwase, Norio.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 125, no. 9, pp. 2753-2757.

}

TY - JOUR

T1 - Adjoint action of a finite loop space

AU - Iwase, Norio

PY - 1997/12/1

Y1 - 1997/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=21944443874&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21944443874&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21944443874

VL - 125

SP - 2753

EP - 2757

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 9

ER -