spielwiese
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Last change
on this file since 7bb006 was
894057,
checked in by Oleksandr Motsak <motsak@…>, 13 years ago
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ADD: Tests from online manual (res+stat on mamawutz): short ones Tst/Manual/s.lst
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-
Property mode set to
100644
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File size:
965 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | LIB "central.lib"; |
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| 3 | ring AA = 0,(x,y,z),dp; |
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| 4 | matrix D[3][3]=0; |
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| 5 | D[1,2]=-z; D[1,3]=2*x; D[2,3]=-2*y; |
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| 6 | def A = nc_algebra(1,D); setring A; // this algebra is U(sl_2) |
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| 7 | poly f = 4*x*y+z^2-2*z; // a central polynomial |
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| 8 | f; |
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| 9 | // find generators of the centralizer of f of degree <= 2: |
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| 10 | ideal c = centralizer(f, 2); |
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| 11 | c; // since f is central, the answer consists of generators of A |
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| 12 | inCentralizer(c, f); // check the result |
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| 13 | // find at least two generators of the centralizer of f: |
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| 14 | ideal cc = centralizer(f,-1,2); |
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| 15 | cc; |
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| 16 | inCentralizer(cc, f); // check the result |
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| 17 | poly g = z^2-2*z; // some non-central polynomial |
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| 18 | // find generators of the centralizer of g of degree <= 2: |
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| 19 | c = centralizer(g, 2); |
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| 20 | c; |
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| 21 | inCentralizer(c, g); // check the result |
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| 22 | // find at least one generator of the centralizer of g: |
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| 23 | centralizer(g,-1,1); |
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| 24 | // find at least two generators of the centralizer of g: |
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| 25 | cc = centralizer(g,-1,2); |
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| 26 | cc; |
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| 27 | inCentralizer(cc, g); // check the result |
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| 28 | tst_status(1);$ |
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