permanents -- ideal generated by square permanents of a matrix

• Usage:

  permanents(n,M)

• Inputs:
  • n, an integer, the size of the permanents
  • M, a matrix
• Outputs:
  • an ideal, generated by the permanents of the n by n subpermanents of M

i1 : R = ZZ[a..f];

i2 : M = genericMatrix(R,a,2,3)

o2 = | a c e |
     | b d f |

             2      3
o2 : Matrix R  <-- R

i3 : permanents(2,M)

o3 = ideal (b*c + a*d, b*e + a*f, d*e + c*f)

o3 : Ideal of R