SAMELSON PRODUCTS in p-REGULAR SO(2n) and ITS HOMOTOPY NORMALITY

Daisuke Kishimoto, Mitsunobu Tsutaya

研究成果: Contribution to journalArticle

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A Lie group is called p-regular if it has the p-local homotopy type of a product of spheres. (Non)triviality of the Samelson products of the inclusions of the factor spheres into p-regular SO(2n (p) is determined, which completes the list of (non)triviality of such Samelson products in p-regular simple Lie groups. As an application, we determine the homotopy normality of the inclusion SO(2n-1) → SO(2n) in the sense of James at any prime p.

元の言語英語
ページ(範囲)165-174
ページ数10
ジャーナルGlasgow Mathematical Journal
60
発行部数1
DOI
出版物ステータス出版済み - 1 1 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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