spielwiese
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Last change
on this file since 951db29 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:
810 bytes
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| 1 | LIB "tst.lib"; tst_init(); |
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| 2 | ring r=0,(e,f,h,a),Dp; |
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| 3 | matrix d[4][4]; |
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| 4 | d[1,2]=-h; d[1,3]=2*e; d[2,3]=-2*f; |
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| 5 | def R=nc_algebra(1,d); setring R; |
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| 6 | // this algebra is U(sl_2), tensored with K[a] over K |
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| 7 | option(redSB); |
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| 8 | option(redTail); |
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| 9 | poly p = 4*e*f+h^2-2*h - a; |
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| 10 | // p is a central element with parameter |
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| 11 | ideal I = e^3, f^3, h^3-4*h, p; // take this ideal |
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| 12 | // and intersect I with the ring K[a] |
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| 13 | ideal J = eliminate(I,e*f*h); |
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| 14 | // if we want substitute 'a' with a value, |
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| 15 | // it has to be a root of this polynomial |
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| 16 | J; |
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| 17 | // now we try to eliminate h, |
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| 18 | // that is we intersect I with the subalgebra S, |
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| 19 | // generated by e and f. |
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| 20 | // But S is not closed in itself, since f*e-e*f=-h ! |
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| 21 | // the next command will definitely produce an error |
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| 22 | eliminate(I,h); |
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| 23 | // since a commutes with e,f,h, we can eliminate it: |
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| 24 | eliminate(I,a); |
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| 25 | tst_status(1);$ |
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