Injectivity of generalized Wronski maps

作者: Yanhe Huang , Frank Sottile , Igor Zelenko

DOI: 10.4153/CMB-2017-001-0

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摘要: We study linear projections on Pluecker space whose restriction to the Grassmannian is a non-trivial branched cover. When an automorphism of preserves fibers, we show that necessarily m-dimensional subspaces in symplectic vector dimension 2m, and map Lagrangian involution. The Wronski for self-adjoint differential operator pole placement symmetric systems are natural examples.

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