Adjoint action of a finite loop space

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish
Pages (from-to)2753-2757
Number of pages5
JournalProceedings of the American Mathematical Society
Volume125
Issue number9
Publication statusPublished - Dec 1 1997

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Lie groups
Loop Space
Analytic group
Compact Lie Group
Homotopy
Cohomology
Odd
Series

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Proceedings of the American Mathematical Society, Vol. 125, No. 9, 01.12.1997, p. 2753-2757.

Research output: Contribution to journalArticle

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