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

Shizuo Kaji

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

研究成果: Contribution to journal › Article › 査読

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.

本文言語	英語
ページ（範囲）	31-41
ページ数	11
ジャーナル	Osaka Journal of Mathematics
巻	52
号	1
出版ステータス	出版済み - 1 1 2015
外部発表	はい

All Science Journal Classification (ASJC) codes

数学 (全般)

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

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All Science Journal Classification (ASJC) codes

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