The method produces the rxr minors of a dxn matrix of indeterminates. Note that the variables in the output are indexed by strings.
i1 : gfanMinors(2,3,3) o1 = {- m m + m m , - m m + m m , - m m + m m , - m m + m m , - m m + m m , - m m + m m , - m m 01 10 00 11 02 10 00 12 02 11 01 12 01 20 00 21 02 20 00 22 02 21 01 22 11 20 ---------------------------------------------------------------------------------------------------------------------------- + m m , - m m + m m , - m m + m m } 10 21 12 20 10 22 12 21 11 22 o1 : List |
gfan Documentation This program will generate the r*r minors of a d*n matrix of indeterminates.Options:-r value: Specify r.-d value: Specify d.-n value: Specify n.-M2: Use Macaulay2 conventions for order of variables.--names: Assign names to the minors.--dressian: Produce tropical defining the Dressian(3,n) instead. (The signs may not be correct, that is the equations may not be Pluecker relations.)--pluckersymmetries: Do nothing but produce symmetry generators for the Pluecker ideal.--symmetry: Produces a list of generators for the group of symmetries keeping the set of minors fixed. (Only without --names).--parametrize: Parametrize the set of d times n matrices of Barvinok rank less than or equal to r-1 by a list of tropical polynomials.
The object gfanMinors is a method function with options.