Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 52, Number 1 (2015), 31-43.
Weyl group symmetry on the GKM graph of a GKM manifold with an extended Lie group action
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.
Osaka J. Math., Volume 52, Number 1 (2015), 31-43.
First available in Project Euclid: 24 March 2015
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55N91: Equivariant homology and cohomology [See also 19L47]
Secondary: 57S15: Compact Lie groups of differentiable transformations
Kaji, Shizuo. Weyl group symmetry on the GKM graph of a GKM manifold with an extended Lie group action. Osaka J. Math. 52 (2015), no. 1, 31--43. https://projecteuclid.org/euclid.ojm/1427202870