spielwiese
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Last change
on this file since 6fb723 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:
1022 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | LIB "involut.lib"; |
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| 3 | def a = makeWeyl(1); |
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| 4 | setring a; // this algebra is a first Weyl algebra |
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| 5 | a; |
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| 6 | def X = findAuto(2); // in contrast to findInvo look for automorphisms |
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| 7 | setring X; // ring with new variables - unknown coefficients |
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| 8 | X; |
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| 9 | size(L); // we have (size(L)) families in the answer |
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| 10 | // look at matrices, defining linear automorphisms: |
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| 11 | print(L[1][2]); // a first one: we see it is the identity |
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| 12 | print(L[2][2]); // and a second possible matrix; it is diagonal |
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| 13 | // L; // we can take a look on the whole list, too |
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| 14 | idJ; |
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| 15 | kill X; kill a; |
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| 16 | //----------- find all the linear automorphisms -------------------- |
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| 17 | //----------- use the call findAuto(0) -------------------- |
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| 18 | ring R = 0,(x,s),dp; |
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| 19 | def r = nc_algebra(1,s); setring r; // the shift algebra |
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| 20 | s*x; // the only relation in the algebra is: |
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| 21 | def Y = findAuto(0); |
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| 22 | setring Y; |
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| 23 | size(L); // here, we have 1 parametrized family |
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| 24 | print(L[1][2]); // here, @p is a nonzero parameter |
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| 25 | det(L[1][2]-@p); // check whether determinante is zero |
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| 26 | tst_status(1);$ |
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