spielwiese
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Last change
on this file since 56c0fe was
e0b657,
checked in by Hans Schönemann <hannes@…>, 17 years ago
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*hannes: ncalgebra -> nc_algebra
git-svn-id: file:///usr/local/Singular/svn/trunk@10367 2c84dea3-7e68-4137-9b89-c4e89433aadc
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-
Property mode set to
100755
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File size:
498 bytes
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| 1 | // File: mult_lie1.tst |
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| 2 | // multiplication tests in enveloping algebras of Lie algebras |
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| 3 | LIB "tst.lib"; |
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| 4 | tst_init(); |
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| 5 | ring r=0,(x,y,z),dp; |
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| 6 | matrix D[3][3]; |
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| 7 | D[1,2]=-z; |
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| 8 | D[1,3]=2x; |
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| 9 | D[2,3]=-2y; |
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| 10 | def S=nc_algebra(1,D);setring S; |
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| 11 | int N=11; |
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| 12 | poly f; |
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| 13 | poly g; |
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| 14 | int i; |
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| 15 | int j; |
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| 16 | int k; |
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| 17 | for(i=1;i<=N;i++) |
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| 18 | { |
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| 19 | for(j=1;j<=N;j++) |
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| 20 | { |
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| 21 | for(k=1;k<=N;k++) |
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| 22 | { |
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| 23 | f=(z^k*y^j)*x^i; |
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| 24 | g=z^k*(y^j*x^i); |
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| 25 | g=g-f; |
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| 26 | if (g!=0) {"Associativity Failed at:";i;j;k;f;} |
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| 27 | } |
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| 28 | } |
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| 29 | } |
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| 30 | z^7*y^6*x^5; |
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| 31 | tst_status(1); |
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| 32 | $ |
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