Injectivity of Generalized Wronski Maps Academic Article uri icon

abstract

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

published proceedings

  • CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES

altmetric score

  • 0.5

author list (cited authors)

  • Huang, Y., Sottile, F., & Zelenko, I.

citation count

  • 1

complete list of authors

  • Huang, Yanhe||Sottile, Frank||Zelenko, Igor

publication date

  • December 2017