Apolarity for the determinant and permanent

We show that the apolar ideals to the determinant and permanent of a generic matrix, the Pfaffian of a generic skew symmetric matrix and the determinant and the hafnian of a generic symmetric matrix are each generated in degree two. We also show that unlike the previous polynomials, the apolar ideal...

Full description

Bibliographic Details
Published:
Online Access:http://hdl.handle.net/2047/d20003069