Mathematics – Algebraic Topology
Scientific paper
2010-07-23
Mathematics
Algebraic Topology
28 pages
Scientific paper
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. In particular, the visible 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.
No associations
LandOfFree
Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rational visibility of a Lie group in the monoid of self-homotopy equivalences of a homogeneous space will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-368892