논문KCI 등재
Mod $p$ homology of the double loop space of the homogeneous space $SO(2n)/U(n)$
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Abstract
We compute the mod p homology of the double loopspace of SO(2n)/U(n) by the Serre spectral sequence of Hopf algebras. We also obtain thetorsion information of the integral homology.
관련 논문AI추천
Torsion in the homology of the double loop spaces of compact simple Lie groups최영기, Seonhee Yoon대한수학회 · 대한수학회지2002 · 제39권 제1호Homotopy fixed point sets and actions on homogeneous spaces of$p$--compact groups이향숙, Kenshi Ishiguro대한수학회 · 대한수학회지2004 · 제41권 제6호Torsion in the cohomology of finite $H$-spaces최영기대한수학회 · 대한수학회지2002 · 제39권 제6호Some cohomotopy groups of suspended quaternionic projective planes이기영, Jin Ho Lee대한수학회 · 대한수학회보2016 · 제53권 제5호Rational homotopy type of mapping spaces between complex projective spaces and their evaluation subgroupsJean-Baptiste Gatsinzi대한수학회 · 대한수학회논문집2022 · 제37권 제1호Rationalized evaluation subgroups of the complex Hopf fibrationOteng Maphane대한수학회 · 대한수학회논문집2021 · 제36권 제4호
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