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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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