Abstract
We consider the class of manifolds with compact Lie group actions which restrict to GKM-actions on the maximal torus. First, we see their GKM-graphs admit symmetry of the Weyl groups. And then, we study its combinatorial abstraction; starting with abstract GKM-graphs with symmetry, we derive certain properties which reflect topology in a purely combinatorial way.
Citation
Shizuo Kaji. "Weyl group symmetry on the GKM graph of a GKM manifold with an extended Lie group action." Osaka J. Math. 52 (1) 31 - 43, January 2015.
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