source: git/Tst/Manual/centerVS.tst

spielwiese
Last change on this file was 894057, checked in by Oleksandr Motsak <motsak@…>, 13 years ago
ADD: Tests from online manual (res+stat on mamawutz): short ones Tst/Manual/s.lst
  • Property mode set to 100644
File size: 459 bytes
Line 
1LIB "tst.lib"; tst_init();
2LIB "central.lib";
3ring AA = 0,(x,y,z),dp;
4matrix D[3][3]=0;
5D[1,2]=-z;  D[1,3]=2*x;  D[2,3]=-2*y;
6def A = nc_algebra(1,D); setring A; // this algebra is U(sl_2)
7// find a basis of the vector space of all
8// central elements of degree <= 4:
9ideal Z = centerVS(4);
10Z;
11// note that the second element is the square of the first
12// plus a multiple of the first:
13Z[2] - Z[1]^2 + 8*Z[1];
14inCenter(Z); // check the result
15tst_status(1);$
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