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

研究成果: ジャーナルへの寄稿記事

抄録

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.

元の言語英語
ページ(範囲)31-41
ページ数11
ジャーナルOsaka Journal of Mathematics
52
発行部数1
出版物ステータス出版済み - 1 1 2015
外部発表Yes

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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)

これを引用

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

:: Osaka Journal of Mathematics, 巻 52, 番号 1, 01.01.2015, p. 31-41.

研究成果: ジャーナルへの寄稿記事

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