Compact weakly symmetric spaces and spherical pairs

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Let (G, H) be a spherical pair and assume that G is a connected compact simple Lie group and H a closed subgroup of G. We prove in this paper that the homogeneous manifold G/H is weakly symmetric with respect to G and possibly an additional fixed isometry μ. It follows that M. Krämer's classification list of such spherical pairs also becomes a classification list of compact weakly symmetric spaces. In fact, our proof involves a case-by-case study of the isotropy representations of all spherical pairs on Krämer's list.

Original languageEnglish (US)
Pages (from-to)3425-3433
Number of pages9
JournalProceedings of the American Mathematical Society
Volume128
Issue number11
DOIs
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Compact weakly symmetric spaces and spherical pairs'. Together they form a unique fingerprint.

  • Cite this