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 Post subject: Problem interpreting facWeyl output
PostPosted: Wed Aug 29, 2018 11:56 am 

Joined: Tue Aug 28, 2018 1:55 pm
Posts: 1
Hi all,

apologies for asking a possibly stupid question about facWeyl. The problem might be my incomplete understanding of Algebra.

I don't understand why facWeyl does not factor x1*d1 + x1* d1 * x2* d2 + x2* d2 + 1 into (1+ x1*d1)*(1+x2*d2). Or maybe it does but I don't understand the way facWeyl tells me this.

Code:
LIB "ncfactor.lib";
ring R = 0,(x1,x2,d1,d2),dp;
matrix C[4][4] = 1,1,1,1,
1,1,1,1,
1,1,1,1,
1,1,1,1;
matrix D[4][4] = 0,0,1,0,
0,0,0,1,
-1,0,0,0,
0,-1,0,0;
def r = nc_algebra(C,D);
setring(r);
poly h = x1*d1 + x1* d1 * x2* d2 + x2* d2 + 1;
facWeyl(h);
[1]:
   [1]:
1
   [2]:
      d1
   [3]:
      d2
   [4]:
      x1
   [5]:
      x2
[2]:
   [1]:
1
   [2]:
      d1
   [3]:
      d2
   [4]:
      x2
   [5]:
      x1
[3]:
   [1]:
1
   [2]:
      d1
   [3]:
      x1
   [4]:
      d2
   [5]:
      x2
[4]:
   [1]:
1
   [2]:
      d2
   [3]:
      d1
   [4]:
      x1
   [5]:
      x2
[5]:
   [1]:
1
   [2]:
      d2
   [3]:
      d1
   [4]:
      x2
   [5]:
      x1
[6]:
   [1]:
1
   [2]:
      d2
   [3]:
      x2
   [4]:
      d1
   [5]:
      x1


Thanks in advance for any help.

Best regards,
Matthias


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