Endomorphisms of the Cohomology Algebra of Certain Homogeneous Spaces

Abstract

Let $M_{n,k}$ denote the homogeneous space $SO(2n) / U(k) \times SO(2n-2k) $. We study the endomorphisms of the rational cohomology algebra of $M_{n,k}$, where $n-k \neq k-1$.

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