Rational homotopy groups of generalised symmetric spaces
Algebraic Topology
2007-05-23 v1
Abstract
We obtain explicit formulas for the rational homotopy groups of generalised symmetric spaces, i.e., the homogeneous spaces for which the isotropy subgroup appears as the fixed point group of some finite order automorphism of the group. In particular, this gives explicit formulas for the rational homotopy groups of all classical compact symmetric spaces.
Keywords
Cite
@article{arxiv.math/0205318,
title = {Rational homotopy groups of generalised symmetric spaces},
author = {S. Terzic},
journal= {arXiv preprint arXiv:math/0205318},
year = {2007}
}
Comments
32 pages, to appear in Mathematische Zeitschrift