대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권5호
  • /
  • Pages.1725-1736
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  • 2013
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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EVALUATION SUBGROUPS OF HOMOGENEOUS SPACES OF COMPACT LIE GROUPS

  • Lee, Jin Ho (Department of Mathematics Korea University) ;
  • Lee, Kee Young (Department of Information and Mathematics Korea University)
  • 투고 : 2012.12.18
  • 발행 : 2013.09.30
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초록

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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참고문헌

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