Weyl group symmetry on the gkm graph of a gkm manifold with an extended lie group action

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)31-41
Number of pages11
JournalOsaka Journal of Mathematics
Volume52
Issue number1
Publication statusPublished - Jan 1 2015

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Lie Group Actions
Weyl Group
Symmetry
Compact Lie Group
Graph in graph theory
Torus
Topology
Abstraction
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Weyl group symmetry on the gkm graph of a gkm manifold with an extended lie group action. / Kaji, Shizuo.

In: Osaka Journal of Mathematics, Vol. 52, No. 1, 01.01.2015, p. 31-41.

Research output: Contribution to journalArticle

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