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Evaluation subgroups of the Pl\"ucker embedding of some quaternion Grassmannians
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Let $ G_{k,n}(\h) $ for $ 2\leq k<n $ denote the Grassmann manifold of $ k $-dimensional vector subspaces of $ \h^{n}. $ In this paper, we determine the evaluation subgroups of the Pl\"uker embedding $ G_{2,n}(\h)\hookrightarrow\h P^{N-1}, $ where $ N= {n\choose 2}. $
Abstract
Let $ G_{k,n}(\h) $ for $ 2\leq k<n $ denote the Grassmann manifold of $ k $-dimensional vector subspaces of $ \h^{n}. $ In this paper, we determine the evaluation subgroups of the Pl\"uker embedding $ G_{2,n}(\h)\hookrightarrow\h P^{N-1}, $ where $ N= {n\choose 2}. $
참고문헌 (12)
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관련 논문AI추천
Relative Gottlieb groups of the Pl\"ucker embedding of some complex GrassmaniansJean B. Gatsinzi, Paul A. Otieno, Vitalis Onyango-Otieno대한수학회 · 대한수학회논문집2020 · 제35권 제1호Evaluation Subgroups of Mapping Spaces over Grassmann ManifoldsAbdelhadi Zaim경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제1호Totally real and complex subspaces of a right quaternionic vector space with a Hermitian form of signature $(n,1)$김성운대한수학회 · 대한수학회지2024 · 제61권 제3호Real n-dimensional QR-submanifolds of maximal QR-dimension immersed in QP^{(n+p)/4}박진석, Hyang Sook Kim, Jung-Hwan Kwon대한수학회 · 대한수학회논문집2009 · 제24권 제1호Rational homotopy type of mapping spaces between complex projective spaces and their evaluation subgroupsJean-Baptiste Gatsinzi대한수학회 · 대한수학회논문집2022 · 제37권 제1호Evaluation subgroups of homogeneous spaces of compact Lie groups이기영, 이진호대한수학회 · 대한수학회보2013 · 제50권 제5호
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