Endomorphisms of the Cohomology Algebra of the Even Orthogonal Grassmannian

Arnab Goswami, Swagata Sarkar

Let $M_{n,k}$ denote the even orthogonal Grassmanian, $SO(2n)/(U(k)\times SO(2n-2k))$. We study endomorphisms of the rational cohomology algebra of $M_{n,k}$. We prove that an…