RATIONAL VISIBILITY OF A LIE GROUP IN THE MONOID OF SELF-HOMOTOPY EQUIVALENCES OF A HOMOGENEOUS SPACE

• Kuribayashi, Katsuhiko

Abstract

Let M be a homogeneous space admitting a left translation by a connected Lie group G. The adjoint to the action gives rise to a map from G to the monoid of self-homotopy equivalences of M. The purpose of this paper is to investigate the injectivity of the homomorphism which is induced by the adjoint map on the rational homotopy group. In particular, the visibility degrees are determined explicitly for all the cases of simple Lie groups and their associated homogeneous spaces of rank one which are classified by Oniscik.

Article

HOMOLOGY HOMOTOPY AND APPLICATIONS. 13(1):349-379 (2011)

Journal

• HOMOLOGY HOMOTOPY AND APPLICATIONS

  HOMOLOGY HOMOTOPY AND APPLICATIONS 13 (1), 349-379, 2011

  INT PRESS BOSTON, INC

Keywords

• self-homotopy equivalence
• homogeneous space
• Sullivan model

Details

• CRID: 1050001338921970688
• NII Article ID: 120007114280
• NII Book ID: AA12136865
• ISSN: 15320073
• HANDLE: 10091/16111
• Web Site: https://soar-ir.repo.nii.ac.jp/records/11817
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles
  • KAKEN