논문KCI 등재
Torsion in the homology of the double loop spaces of compact simple Lie groups
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Abstract
We study the torsions in the integral homology of the double loop spaceof the compact simple Lie groups by determining the higherBockstein actions on the homology of those spaces through the Bockstein lemmaand computing the Bockstein spectral sequence.
관련 논문AI추천
Mod $p$ homology of the double loop space of the homogeneous space $SO(2n)/U(n)$Younggi Choi대한수학회 · 대한수학회보2003 · 제40권 제2호Torsion in the cohomology of finite $H$-spaces최영기대한수학회 · 대한수학회지2002 · 제39권 제6호Homotopy fixed point sets and actions on homogeneous spaces of$p$--compact groups이향숙, Kenshi Ishiguro대한수학회 · 대한수학회지2004 · 제41권 제6호Evaluation subgroups of homogeneous spaces of compact Lie groups이기영, 이진호대한수학회 · 대한수학회보2013 · 제50권 제5호Rationalized evaluation subgroups of the complex Hopf fibrationOteng Maphane대한수학회 · 대한수학회논문집2021 · 제36권 제4호Homology of the gauge group of exceptional Lie group G₂최영기대한수학회 · 대한수학회지2008 · 제45권 제3호
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