Injectivity of Generalized Wronski Maps Academic Article

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 ofm-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.

authors

• Sottile, Frank
• Zelenko, Igor

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

publisher

• Canadian Mathematical Society  Publisher

published in

• Canadian Mathematical Bulletin  Journal

keywords

• Curves In Lagrangian Grassmannian
• Plucker Embedding
• Pole Placement Map
• Self-adjoint Linear Differential Operator
• Symmetric Linear Control System
• Wronski Map

Digital Object Identifier (DOI)

• 10.4153/CMB-2017-001-0

start page

• 747

end page

• 761

volume

• 60

issue

• 4

URL

• http://dx.doi.org/10.4153/cmb-2017-001-0