G-Varieties and the Principal Minors of Symmetric Matrices

G-Varieties and the Principal Minors of Symmetric Matrices

The variety of principal minors of nxn symmetric matrices, denoted Zn, can be described naturally as a projection from the Lagrangian Grassmannian. Moreover, Zn is invariant under the action of a group G C GL(2n) isomorphic to (SL(2)xn) x Sn. One may use this symmetry to study the defining ideal of...

Full description

Bibliographic Details
Main Author: Oeding, Luke
Other Authors: Landsberg, J. M.
Format: Others
Language:English
Published: 2010
Subjects:
G-varieties
Principal minors
symmetric matrices
inverse eigenvalue problem
Principal minor assignment problem
Relations among principal minors of symmetric matrices
Online Access:http://hdl.handle.net/1969.1/ETD-TAMU-2009-05-526

Internet

http://hdl.handle.net/1969.1/ETD-TAMU-2009-05-526

Similar Items