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EVALUATION SUBGROUPS OF HOMOGENEOUS SPACES OF COMPACT LIE GROUPS
- Authors
- Lee, Jin Ho; Lee, Kee Young
- Issue Date
- 9월-2013
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- evaluation subgroup; symmetric spaces; stable homotopy groups
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.50, no.5, pp.1725 - 1736
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 50
- Number
- 5
- Start Page
- 1725
- End Page
- 1736
- ISSN
- 1015-8634
- Abstract
- In this paper, we compute the images of homotopy groups of various classical Lie groups under the homomorphisms induced by the natural projections from those groups to irreducible symmetric spaces of classical type. We identify that those computations are certain lower bounds of Gottlieb groups of irreducible symmetric spaces. We use the lower bounds to compute some Gottlieb groups.
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